Question

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.​

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Answer 1

Step-by-step explanation:

If D, E and F are mid-points of sides AB, BC and CA respectively of an isosceles triangle ABC, prove that Δ DEF is also isosceles. Hence, Δ DEF is an isosceles triangle. (ii) PO = ½ CD. Hence, it is proved that PO || AB.