Prove that in a right triangle, the median from the right angle equals half the hypotenuse.

If two angles of a triangle are equal, the opposite sides are equal, hence the triangle is isosceles.

But how do I prove that the angles are equal?

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- Sep 9th 2012, 07:04 PMTim28Median in right triangle
Prove that in a right triangle, the median from the right angle equals half the hypotenuse.

If two angles of a triangle are equal, the opposite sides are equal, hence the triangle is isosceles.

But how do I prove that the angles are equal? - Sep 9th 2012, 08:56 PMkalyanramRe: Median in right triangle
- Sep 10th 2012, 04:21 PMbjhopperRe: Median in right triangle
- Sep 10th 2012, 06:46 PMSorobanRe: Median in right triangle
Hello, Tim28!

Quote:

Prove that in a right triangle, the median from the right angle equals half the hypotenuse.

Proof without words . . .

Code:`* * *`

* * C

* o

* *

* *

Ao - - - - * - - - - oB

* O *

* *

* *

* *

* * *

$\displaystyle \text{Got it?}$

Okay, there were some words,

but they were directions for sketching the diagram.

(I couldn't type those slanted lines.)