Question

if two medians of a triangle are equal ,proof that the triangle formed by a segment of the median and the third side is an isosceles triangle​

Answer 1

Let the triangle be ABC, and where the medians AD and BE intersect be M.

The three medians intersect at the centroid, and divide each other in the ratio 1:2

That means that AM = BM and the triangle ABM is isosceles.