Circumcenter of a right triangle | Geometry | Khan Academy

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Showing that the midpoint of the hypotenuse is the circumcenter

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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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Hey, I want to give a suggestion. Can't u prove that BO = 1/2BA, just by mid point theorem. It would be much easier than proving this by the concept of SIMILAR TRIANGLES.
THANKS

furiousagarwal
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what is ratio of circumradius to incenter ( of its inscribed circle) of a triangle?

benjaminteitelbaum
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thankyou for help and solving my confusion

jaidevisamiti
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I find these sorts of "hidden geometric realities" to be mind-bendingly I'm suspect I'm not the first (LOL).

GetMeThere
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Yay! First comment, first viewer and first reaction!

CathyAnneable
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@anmolcrackers236 : You can try to make it your next birthday was.

GetMeThere