Hello, JayJay!

Prove: the median drawn to the hypotenuse of a right triangle

divides it into two isosceles triangles. There is an "eyeball" proof for this.

Maybe you can explain it in words.

Code:

* * * C
* o
* o o*
* o o*
o o
* o *
A o o o * o o o B
* r O r *
* *
* *
* *
* * *

A right triangle can be inscribed in a semicircle.

We have right triangle ABC inscribed in a semicircle with radius *r.*

. . Hence: OA = OB = r.

Draw radius OC and we have:

. . OC = OA . → . ∆AOC is isosceles.

. . OC = OB . → . ∆COB is isosceles.