Kiselev's Geometry Problem 102

394 Views Asked by Bumbble Comm At 08 Apr 2026 - 3:41

Prove Theorem: A median in a triangle is equidistant from the two vertices not lying on it.

Let AD be the median in the triangle.

There are 1 best solutions below

Bumbble Comm On 31 Mar 2017 - 9:02 BEST ANSWER

It means we have to prove that BX = CY where X and Y are the feet of the perpendiculars from B and C to the median AD respectively.

This follows immediately after showing the blue triangles are congruent.