Medians divide into smaller triangles of equal area | Geometry | Khan Academy

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Showing that the three medians of a triangle divide it into six smaller triangles of equal area. Brief discussion of the centroid as well
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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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[@GetMeThere1]

Gosh, I'm absolutely FASCINATED by this sort of geometry. I certainly never learned any of this in either high school geometry or trigonometry... ....and in college all the math they wanted to teach me was calculus...

[@tamzaza5011]

thank you for the video. my teacher told me to search it up online cuz my teacher is lazy but this video is so good i understand everything.

[@devendrasingh8403]

good job sir nice video i m from india

[@khenzojohnelson7776]

Thanks so much, Khan Academy!!!!❤❤❤❤

[@goodnessprevail302]

really good.........it has helped me...........

[@lexinaut]

Excellent instruction. Infinigon RounderSmith and Domain Ranger enjoyed this video! The proof provides exciting geometric information in a very clear manner. FUN! Thanks! May the Math be with Us ... and Them too!

[@GiorgioCapocasa]

Neat :) I didn't even know this property.

[@rijonhasan2757]

Take love from the core of hearts...it was a very very very good lesson.

[@devilking1366]

what if the area of the tiangle ABC having sides (4,5,6.5) is calculated by Herons formula and then draw its median AD as ur goodself have drawn and calculate their area by 1/2base.alt.and add them up. would area be same if yes then do plz.

[@allinonetony1957]

thanx for this video this realy help me for exam

[@benjaminteitelbaum1073]

Wow.

[@Ferrus91]

Civa's theorem is a more general version of this.

[@akhilk909]

Ferrus91 I

[@udithnarayanks2724]

really superb and i'm the first person to hit 100th like

[@gowrinanda2907]

very gud

[@bruceedward3079]

It is very hard to see on black background, can't able to concentrate due to low visibility

[@purpelaccount6040]

The play button is illuminati