Question

prove that the medians bisecting the equal sides of an isosceles triangle are also equal.

Answer 1

Let we have two medians BD and CE that bisects the equal sides of isosceles triangle ABC   , and here we wants to prove BD  =  CE


​Here we know AB  =  AC  , as ABC is a isosceles triangle 
and

D is the mid point of AC  , E is the mid point of AB  , So 
AD=CD=1/2AC
AE=BE=1/2AB
So,
AD=CD=AE=BE --------(1)           (As we know AB=AC)