Milky Way vs Ton 618 Black Hole Size Comparison | 3d Animation Comparison | Real Scale Comparison (60FPS)
In this video we made 3d Comparison of Milky Way vs Ton 618 Black Hole Size and this is true real scale comparison of galaxy vs Black hole and this is 60 fps video.

#galaxy #comparison #3d #blackhole


Check this amazing video - https://youtu.be/FBn96KE8p30

When we tell a story, we must follow the right order - and to indicate this order of events, we can use sequence words. In this instructional video, Owen talks about these sequence words and gives an example of how to structure a story correctly, using them.

This video is part of a broader lesson plan that is aligned with CCSS.ELA-Literacy.CCRA.W.3: "Write narratives to develop real or imagined experiences or events using effective technique, well-chosen details and well-structured event sequences."

Please visit Snowflake.live to access the complete lesson plan, an educational interactive game and other related resources.

Music in video by Music_For_Videos from Pixabay.

This video walks through the process of how to divide fractions by using 3 easy steps.

In this video we cover:
Review of how to multiply fractions
What is a reciprocal
How a reciprocal can make dividing fractions easy
The steps for dividing fractions: Keep the first fraction constant, flip the second fraction to its reciprocal, and change the sign to multiplication.
Once those steps are done, you can multiply across the numerator and denominators.

🔴 Subscribe for more free YouTube tips: https://www.youtube.com/c/ImprovedMath

🔴 Share this video with a friend: https://youtu.be/NsHrbJGBKXM


✅ For business inquiries contact me at improvedmath@gmail.com

✅ Let's connect:

https://www.youtube.com/c/ImprovedMath

https://www.tiktok.com/@improvedmath1?

https://www.pinterest.com/improvedmath/


Improved math is a channel created to provide additional instruction on essential math concepts. I’m passionate about math and I know first-hand how important math concepts are in the real world.

Teachers, parents, guardians, homeschoolers, and students can use these videos to help reinforce math skills. These math videos are designed to help teach yourself math or provide self-study math tools to assist when additional instruction is needed. Teaching math and learning math has changed the way many students learn in this virtual environment and during the pandemic. Having on-demand math videos can provide math tutoring needed when children are not able to get help from their teachers after school hours or when trying to do math at home.

The library of math tutorials that I create can also be used as supplemental instructional material for homeschool math. Each full-length video comes with a subsequent knowledge check or math practice problems which serve as a virtual math topic worksheet to test your understanding of each skill. These videos can be paused to work out the problems on your own, then unpaused to check your answers. All of these videos can be found under the Knowledge Check playlist.

I also have a library of shorter videos (less than 1 minute in length - shorts) that are quick math tips and tricks on basic math topics. Some of these short math help videos include problems that you can work on yourself and submit your answers in the comments. They are all listed under my Math Tips and Tricks playlist.

Improved math is creating more videos every day to cover topics from 4th grade, 5th grade, 6th grade, and 7th-grade math. The videos focus on fractions, basic math operations, geometry, and ratios but more topics are being added all the time. If there is a specific topic you would like to see covered, drop me a comment in one of my videos and let me know!

Free math help videos will be posted every Thursday and Friday. For additional math resources, check out my math help website at improvedmath.com where I post math worksheets and answers along with additional context on math basics.



Thanks for watching my channel.


#fractions
#division
#mathhelpvideos
#homeschoolmath
#selfstudymath
#virtualmath
#dividingfractions

Next stop on our tour of engineering’s major fields: electrical engineering. In this episode we’ll explore the history of telecommunications, electric power and lighting, and computers. We’ll introduce topics like magnetism, electrical conduction, telegraphy, lighting, and computers.

Crash Course Engineering is produced in association with PBS Digital Studios: https://www.youtube.com/playli....st?list=PL1mtdjDVOoO

***

RESOURCES:
https://www.britannica.com/bio....graphy/William-Gilbe
http://www.bbc.co.uk/history/h....istoric_figures/gilb
http://www.sparkmuseum.com/BOOK_GRAY.HTM
http://people.seas.harvard.edu..../~jones/es154/lectur
https://www.britannica.com/biography/Claude-Chappe
http://people.seas.harvard.edu..../~jones/cscie129/pap
https://www.britannica.com/bio....graphy/William-Fothe
http://ethw.org/William_Fothergill_Cooke
https://www.telegraph.co.uk/te....chnology/connecting-
http://www.history.com/this-da....y-in-history/first-t
https://www.britannica.com/bio....graphy/Samuel-F-B-Mo
https://www.britannica.com/bio....graphy/Alexander-Gra
https://www.britannica.com/bio....graphy/Heinrich-Hert
https://www.livescience.com/45....641-science-of-world
https://definitions.uslegal.co....m/r/radio-act-of-191
https://www.britannica.com/bio....graphy/Sir-Humphry-D
https://www.britannica.com/bio....graphy/Zenobe-Theoph
http://www.history.com/topics/....inventions/thomas-ed
http://www.history.com/news/as....k-history/what-was-t
http://www.computerhistory.org..../fellowawards/hall/m
http://www.pbs.org/transistor/....album1/addlbios/hoff
http://www.intel4004.com/
https://www.wired.com/2009/12/....1223shockley-bardeen
https://www.history.com/topics..../inventions/inventio

***

Crash Course is on Patreon! You can support us directly by signing up at http://www.patreon.com/crashcourse

Thanks to the following Patrons for their generous monthly contributions that help keep Crash Course free for everyone forever:

Mark Brouwer, Glenn Elliott, Justin Zingsheim, Jessica Wode, Eric Prestemon, Kathrin Benoit, Tom Trval, Jason Saslow, Nathan Taylor, Divonne Holmes à Court, Brian Thomas Gossett, Khaled El Shalakany, Indika Siriwardena, SR Foxley, Sam Ferguson, Yasenia Cruz, Eric Koslow, Caleb Weeks, Tim Curwick, Evren Türkmenoğlu, D.A. Noe, Shawn Arnold, Ruth Perez, Malcolm Callis, Ken Penttinen, Advait Shinde, Cody Carpenter, Annamaria Herrera, William McGraw, Bader AlGhamdi, Vaso, Melissa Briski, Joey Quek, Andrei Krishkevich, Rachel Bright, Alex S, Mayumi Maeda, Kathy & Tim Philip, Montather, Jirat, Eric Kitchen, Moritz Schmidt, Ian Dundore, Chris Peters, Sandra Aft
--

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#selfintroduction #introduceyourself #introducingme #introduce #study #dailyconversations #温習 #revision #學英文 #英語語法 #英語初學者 #刻意練習 #englishlearning #english #restaurant
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💛Please SUBSCRIBE to our channel, LIKE, and SHARE: @learnfast101
💛歡迎訂閱我們的頻道、點讚、分享: @learnfast101
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How would you introduce yourself? 你會怎樣介紹你自己？

今天的頻道主要訓練用簡單句子介紹自己。
每天花10分鐘，循環不停學英文，讓你輕鬆溫習英文日常用語。你會發現英文聽、講能力會不知不覺間神速進步!

👇影片分為6個部份
00:15 第1個自我介紹(完整)示範
01:12 第1個自我介紹(分句練習)
03:28 第2個自我介紹(完整)示範
04:21 第2個自我介紹(分句練習)
06:31 第3個自我介紹(完整)示範
07:54 第3個自我介紹(分句練習)

Here are three more shorts about self introduction.
以下是另外三部自我介紹的短片：
👉 https://youtube.com/shorts/2PT....pU8AJLGQ?feature=sha
👉 https://youtube.com/shorts/iA3....bZK3ttbg?feature=sha
👉 https://youtu.be/2r2pYz3kD-k

Welcome to watch our videos 歡迎觀看我們所創作的其他影片

👉🏻1) Basic Conversation 會話 https://www.youtube.com/playli....st?list=PLPoPxSDq_eP

👉🏻2) Grammar 語法 https://www.youtube.com/playli....st?list=PLPoPxSDq_eP

👉🏻3）English Speaking https://www.youtube.com/playli....st?list=PLPoPxSDq_eP

👉🏻4）Funny Jokes 笑話 https://www.youtube.com/playli....st?list=PLPoPxSDq_eP

👉🏻5）Vocabulary 詞彙 https://www.youtube.com/playli....st?list=PLPoPxSDq_eP

👉🏻6）English Idioms 英語成語 https://www.youtube.com/playli....st?list=PLPoPxSDq_eP

👉🏻7）Revision Exercise 重温練習 https://www.youtube.com/playli....st?list=PLPoPxSDq_eP

👉🏻8）Fun Games 趣遊戲味 https://www.youtube.com/playli....st?list=PLPoPxSDq_eP

👉🏻9） Tongue Twister 繞口令 https://www.youtube.com/playli....st?list=PLPoPxSDq_eP

👉🏻10）Writing a composition 作文 https://www.youtube.com/playli....st?list=PLPoPxSDq_eP

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Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ec....onomics-finance-doma

Price to Earnings Ratio (or P/E ratio). Created by Sal Khan.

Watch the next lesson:
https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/p-e-discussion?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets

Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/earnings-and-eps?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets

Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back!

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channe....l/UCQ1Rt02HirUvBK2D2
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

This algebra video tutorial explains how to solve system of equations with 3 variables and with word problems. It contains two example word problems on investment and on total value.

Systems of Linear Equations - 2 Variables: https://www.youtube.com/watch?v=oKqtgz2eo-Y

Systems of Equations - Fractions & Decimals:
https://www.youtube.com/watch?v=jlddJQ1qYDU

One Solution, No Solution or Many Solutions?
https://www.youtube.com/watch?v=bq5gDsEdN3Q

Systems of Equations - Substitution Method:
https://www.youtube.com/watch?v=cblHUeq3bkE

Solving Systems of Equations By Graphing:
https://www.youtube.com/watch?v=Pd4hwS8qHms

________________________________________
Systems of Linear Equations - 3 Variables:
https://www.youtube.com/watch?v=0JQeo0yC9OQ

Systems of Equations - Word Problems:
https://www.youtube.com/watch?v=YgtidDkjJ9M

Systems of Quadratic Equations:
https://www.youtube.com/watch?v=rq5AjFs95qw

Systems of Nonlinear Equations:
https://www.youtube.com/watch?v=JPdLEaxlnZQ

________________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio

By using Gemini it’s not too difficult to generate alt text that will make your published images accessible to those who use screen readers.


Alt Text Generator Gem
https://gemini.google.com/gem/....12BCpB29HnzSLljUWBjM
In order to make this appear as a saved Gem for you, you have to open it and use it once. Then you can find it in your Gems Manager page.

All of my help videos: https://docs.google.com/docume....nt/d/1lVxUw0wpiv-18M

Subscribe to my Channel: https://www.youtube.com/channe....l/UChQpjyIIwog8bgQuX

More detail on the light reactions and photophorylation
More free lessons at: http://www.khanacademy.org/video?v=yfR36PMWegg

Are you smart enough to solve these logic riddles? Some of these riddles are simple enough to be solved in under a minute.

While others are tricky enough to stump you all day long,
putting your brain to the test!.


Today, you have a chance to give your brain a workout
by figuring out a few of these famous logic and number riddles.

So, are you up for the challenge? And don’t miss our bonus – a simple yet tricky riddle, that has been around for over 100 years!


Working on math riddles and brain teasers is a great way to sharpen your critical thinking and problem-solving skills. While these math riddles may seem simple at first glance, most people—even math nerds!—find themselves completely stumped! Are you up for the challenge?

TIMESTAMPS: JUMP TO A MATH RIDDLE:

1.) How Many Blocks? 0:42
2.) A Walk in the Woods! 1:40
3.) The Gummy Bear Pyramid! 2:38
4.) How Old Are You Now? 3:27
5.) Whole Lotta' Hugs! 4:15
Bonus: 5:19

#LogicRiddles #MathPuzzles

For more free math puzzles and activities, visit:
http://www.mashupmath.com

Babies have to learn a lot of language stuff before they can even say their first word. Exposure to language as infants doesn’t just help us say those first words but gives us the tools we need to acquire advanced language skills and learn more languages later on in life. In this episode of Crash Course Linguistics, we’ll learn about language acquisition and how the process differs for babies and adults.

Want even more linguistics? Check out the Lingthusiasm podcast, hosted by the writers of Crash Course Linguistics: https://lingthusiasm.com/

***
Watch our videos and review your learning with the Crash Course App!
Download here for Apple Devices: https://apple.co/3d4eyZo
Download here for Android Devices: https://bit.ly/2SrDulJ

Crash Course is on Patreon! You can support us directly by signing up at http://www.patreon.com/crashcourse

Thanks to the following patrons for their generous monthly contributions that help keep Crash Course free for everyone forever:

Eric Prestemon, Mark, DAVID MORTON HUDSON, Perry Joyce, Isaac Liu, Scott Harrison, Mark & Susan Billian, Junrong Eric Zhu, Alan Bridgeman, Jennifer Smith, Matt Curls, Tim Kwist, Jonathan Zbikowski, Jennifer Killen, Sarah & Nathan Catchings, Brandon Westmoreland, team dorsey, Trevin Beattie, Eric Koslow, Indika Siriwardena, Khaled El Shalakany, Shawn Arnold, Siobhán, Ken Penttinen, Nathan Taylor, William McGraw, Jirat, Brian Thomas Gossett, Ian Dundore, Jason A Saslow, Jessica Wode, Caleb Weeks
__

Want to find Crash Course elsewhere on the internet?
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Twitter - http://www.twitter.com/TheCrashCourse
Tumblr - http://thecrashcourse.tumblr.com
Support Crash Course on Patreon: http://patreon.com/crashcourse

CC Kids: http://www.youtube.com/crashcoursekids

Spend some time with the ladies of JJ’s family!
Watch and sing as mom and Yoyo spend the best mother and daughter day ever! 👩‍👧
Subscribe for new videos every week: https://www.youtube.com/c/coco....melon?sub_confirmati

Today is a day to celebrate
Mothers and daughters together
Today is a day for us to say
I love when we’re together

My daughter and me
My daughter and me
We play hard
She’s my little soccer star
My daughter and me
My daughter and me
I’m glad that you’re mine

My mommy and me
My mommy and me
We plant the flowers
In the garden for hours
My mommy and me
My mommy and me
I’m glad that you’re mine

My daughter and me
My daughter and me
We ride our bikes
Going fast is what we like
My daughter and me
My daughter and me
I’m glad that you’re mine

My daughter and me
My daughter and me
We have the same nose
And fingers and toes
My daughter and me
My daughter and me
I’m glad that you’re mine

My mommy and me
My mommy and me
We dress up fancy
With polka dots and beads
My mommy and me
My mommy and me
I’m glad that you’re mine

My daughter and me
My mommy and me
So happy can’t you see
There’s no place I’d rather be
My daughter and me
My mommy and me
I’m glad that you’re mine

Watch our playlists:
Family Fun
https://www.youtube.com/watch?v=jbBbRjs_niM&list=PLT1rvk7Trkw7odS3
Kids Songs by CoCoMelon
https://www.youtube.com/watch?v=4t5WI5RF67Y&list=PLT1rvk7Trkw6-eCetnOs60kLGdmcHhyj0tPR-3vMf8CuMJN5gP
JJ & Friends
https://www.youtube.com/watch?v=4t5WI5RF67Y&list=PLT1rvk7Trkw4QbgqgSEJjJz3HIewomqdS
Nursery Rhymes in 3D
https://www.youtube.com/watch?v=z3-Tm_aS3N0&list=PLT1rvk7Trkw55UcI5ijZ_4QmsKqYSSXEq

About Cocomelon:

Where kids can be happy and smart!

At Cocomelon, we are dedicated to creating quality, educational videos that can help kids learn all about letters, numbers, shapes, colors, animals, and so much more!

Your kids will love our friendly characters and colorful animated videos while learning both classic nursery rhymes and original songs.

WEBSITE: http://www.Cocomelon.com
FACEBOOK: https://www.facebook.com/Cocomelonkids
TWITTER: https://www.twitter.com/Cocomelonkids


Copyright Treasure Studio, Inc. All Rights Reserved.

Series of FREE online Workshops: Day 4 with Nancy Penchev, I LAB teacher and Instructional Technology Coordinator, Hillel Community Day School, FL, USA

Register https://www.eventbrite.ie/e/distance-...
---
Event Dates and Time: NOTE: Different link to broadcast will be sent each day.

20 March 2020: 10.00-11.00 CDT - https://www.youtube.com/watch?v=mV7m_...
23 March 2020: 10.00-11.00 CDT - https://www.youtube.com/watch?v=3kz0I...
24 March 2020: 08.00-09.00 CDT - https://youtu.be/XIoiZ-BwigU
26 March 2020: 10.00-11.00 CDT - https://youtu.be/CMarb_BTvzE
27 March 2020: 10.00-11.00 CDT
30 March 2020: 10.00-11.00 CDT

Coronavirus challenge is pushing the global educational industry into a new digital era!

The decision taken by the public health officials and regional governments in different countries over the last few weeks to stop the spread of the novel coronavirus has affected the global education industry. A record number of children and youth are not attending school. The short- or long-term shutdown of schools in 22 countries in parts of the USA, China, South Korea, Europe and elsewhere around the globe due to the speeding Covid-19 epidemics have left parents trying to urgently arrange a remote learning environment for their kids.

Schools temporarily go remote taking digital transformation in the education space to the new level and speeding the integration of immersive technologies into the curriculum. With a little time to prepare for such a dramatic shift in teaching, educators are struggling to find digital resources for virtual classes to keep students engaged in distanced learning.

Ready to learn from global educators?

Join a series of LIVE practical workshops focused on best K-12 e-learning resources to support students learning and minimize disruption in the education process.

Students create large-scale models of microfluidic devices using a process similar to that of the PDMS and plasma bonding that is used in the creation of lab-on-a-chip devices. They use disposable foam plates, plastic bendable straws and gelatin dessert mix. After the molds have hardened overnight, they use plastic syringes to inject their model devices with colored fluid to test various flow rates. From what they learn, students are able to answer the challenge question presented in lesson 1 of this unit by writing individual explanation statements.

View the full activity at TeachEngineering: https://www.teachengineering.o....rg/activities/view/v

TeachEngineering has over 1,500 FREE lessons and activities. Visit http://www.TeachEngineering.org for more!

Music: Roger That- Silent Partner

#ReadingLessonForBeginners
#ReadingTutorialforBeginners
#readinglessonforkids
#teacherayaonlinetutor
#practicereadingenglish
#practicereadingenglish
#learnhowtoread
#LearningIsFun
#englishgrade1
#EnglishReadingLessonGrade1
#EnglishReadingLessonGrade3
#EnglishReadingLessonKinder
#CVC
#CVCsentences
#OnlineReadingLesson
#Poems
#PoemsforKids

Check out how to create Handwritten Study Notes with Google Gemini in seconds.

These notes weren't written in hand. They were generated with Nano Banana and in this video, I’ll show you the exact prompt and settings to turn boring text into visual aids for any topic.

Whether you're a student trying to save time or a teacher looking for better materials, this Google Gemini tutorial is for you!

When the economy slowed down and then suddenly collapsed, so did the stock market. First in London, then dramatically in New York. This triggered the so-called Great Depression, which was a world financial slump that lasted in most countries for around a decade, until the start of World War II.
Did investors and stock brokers who had lost it all leap off of buildings during the 1929 Stock Market Crash?


Become a Simple History member: https://www.youtube.com/simplehistory/join
Support us on Patreon: https://www.patreon.com/simplehistory

Copyright: DO NOT translate and re-upload our content on Youtube or other social media.

SIMPLE HISTORY MERCHANDISE

Get the Simple History books on Amazon:

https://www.amazon.com/Daniel-....Turner-%60/e/B00H5TY

T-Shirts

https://teespring.com/stores/s....imple-history-offici

Simple history gives you the facts, simple!

See the book collection here:

Amazon USA

http://www.amazon.com/Daniel-Turner/e/B00H5TYLAE/


Amazon UK
http://www.amazon.co.uk/Daniel....-Turner/e/B00H5TYLAE


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Credit:
Created by Daniel Turner (B.A. (Hons) in History, University College London)
Script: Conan White
Narrator:

Chris Kane
https://vocalforge.com/

Sources:

Six Days in October by Karen Blumenthal Copyright 2002
The 1929 Stock Market Crash by Martin Gitlin Copyright 2008
The Day the Bubble Burst by Gordon Thomas & Max Morgon-Witts
The Great Depression by Pierre Berton Copyright 1990

This is a video about how Japanese samurai swords, aka katanas, are made – from the gathering of the iron sand, to the smelting of the steel, to the forging of the blade. Head over to https://hensonshaving.com/veritasium and enter code 'Veritasium' for 100 free blades with the purchase of a razor. Make sure to add both the razor and the blades to your cart for the code to take effect.

Special thanks to our Patreon supporters! Join this list to help us keep our videos free, forever:
https://ve42.co/PatreonDEB

If you’re looking for a molecular modeling kit, try Snatoms, a kit I invented where the atoms snap together magnetically - https://ve42.co/SnatomsV

CORRECTION: There's a typo at 18:20. The combination of Ferrite and Cementite is Pearlite, not Perlite. Thanks, @neophoys for pointing it out.

▀▀▀
A massive thank you to John McBride for making this entire project happen. This would not have been possible without John. Please check out his japan walking tours https://walkjapan.com/
Massive thanks to Craig Mod, Inoue-san, everyone in the Tanabe family, and Takanashi-san. Also a massive thank you to Kevin Cashen – https://cashenblades.com/

▀▀▀
References:
Tanii, H., Inazumi, T., & Terashima, K. (2014). Mineralogical study of iron sand with different metallurgical characteristic to smelting with use of Japanese classic iron-making furnace “Tatara”. ISIJ international, 54(5), 1044-1050.

Tate, M. (2005). History of Iron and Steel Making Technology in Japan Mainly on the smelting of iron sand by Tatara. Tetsu-to-Hagane, 91(1), 2-10.

Krauss, G. (1999). Martensite in steel: strength and structure. Materials science and engineering: A, 273, 40-57.

Krauss, G., & Marder, A. R. (1971). The morphology of martensite in iron alloys. Metallurgical Transactions, 2, 2343-2357.

Yalçın, Ü. (1999). Early iron metallurgy in Anatolia. Anatolian Studies, 49, 177-187.

Kapp, L., Kapp, H., & Yoshihara, Y. (1987). The craft of the Japanese sword. Kodansha International.

Matsumoto, C., Das, A. K., Ohba, T., Morito, S., Hayashi, T., & Takami, G. (2013). Characteristics of Japanese sword produced from tatara steel. Journal of Alloys and Compounds, 577, S673-S677.

Inoue, T. (2010). Tatara and the Japanese sword: the science and technology. Acta Mechanica, 214(1), 17-30.


Images & Video:

Great video from NHK – https://ve42.co/NHK



▀▀▀
Special thanks to our Patreon supporters:

Adam Foreman, Anton Ragin, Balkrishna Heroor, Bill Linder, Blake Byers, Burt Humburg, Chris Harper, Dave Kircher, David Johnston, Diffbot, Evgeny Skvortsov, Garrett Mueller, Gnare, I.H., John H. Austin, Jr. ,john kiehl, Josh Hibschman, Juan Benet, KeyWestr, Lee Redden, Marinus Kuivenhoven, Max Paladino, Meekay, meg noah, Michael Krugman, Orlando Bassotto, Paul Peijzel, Richard Sundvall, Sam Lutfi, Stephen Wilcox, Tj Steyn, TTST, Ubiquity Ventures

▀▀▀
Directed by Petr Lebedev
Written by Petr Lebedev and Derek Muller
Edited by Trenton Oliver and Jack Saxon
Animated by Fabio Albertelli, Jakub Misiek, David Szakaly
Filmed by Petr Lebedev and Lui Kimishima
Produced by Petr Lebedev, Derek Muller, Han Evans, Giovanna Utichi, Emily Taylor
Additional research by Gregor Čavlović
Thumbnail by Peter Sheppard


Additional video/photos supplied by Getty Images
Music from Epidemic Sound

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/geometry/hs-geo-s

Two example problems involving similarity

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/e/solving_similar_triangles_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry

Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similarity-example-where-same-side-plays-different-roles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry

Missed the previous lesson?
https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similar-triangle-example-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry

Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.

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