Question

Given: P is the midpoint of AB

Q is the midpoint of AC

Prove: BC = 2PQ

Answer 1

Explanation:

Since we have given that

Given : In triangle ABC, P is the mid point of AB, and Q is the midpoint of AC.

To prove : BC=2PQ

Construction : Join PQ such that PQ║BC.

Proof: Since P and Q are the midpoints of AB and AC respectively.

Using Mid point theorem, it states that the line segments joining the midpoints is parallel to the third side and equal to half of the third side.

`PQ=(1)/(2)BC\\\\2BC=PQ`

Hence proved.