Question

Answee the question with the diagram. Pleaee prove it.

Answer 1

Mid point theorem : segment joining any 2 mid-points of any 2 sides of a triangle is ║to the third side and is half of it.

Let AF=CF= x and CE= BE=y ⇒BC= 2y

∵AB=BC=2y ⇒AD=BD=y

According to mid point theorem;

DE║AF and DE= x

EF║AB and EF=y

DF║BC and DF=y

∵2 sides of triangle DEF are equal(EF=DE)

⇒DEF is an isosceles triangle.