Question

3. D. E and F are the mid-points of the sides
AB, BC and CA of an isosceles A ABC in
which AB = BC. Prove that A DEF is also
isosceles.​

Answer 1

Given: △ABC, AB=BC, D, E and F are mid points of AB, BC and CA respectively.

Since, D is mid point of AB and E is mid point of BC

By Mid point theorem, DF∥AC and DF=

2

1

AC...(1)

Since, E is mid point of BC and F is mid point of AC

By Mid point theorem, EF∥AB and EF=

2

1

AB ...(2)

Hence, By (1) and (2)

DE=EF

or △DEF is an isosceles triangle.

Answer 2

Step-by-step explanation:

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