If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA then

A. PQR must be an equilateral triangle

B. PQ + QR = PQR + AB

C. PQ + QR = PR + 2AB

D. PQR must be a right angled

Answer: Option A

Solution(By Examveda Team)

According to question,

Given : P, Q and R are the mid points of AB, BC and AC
PQ || AC and PQ = $$\frac{1}{2}$$ AC
PR || BC and PR = $$\frac{1}{2}$$ BC
RQ || AB and RQ = $$\frac{1}{2}$$ AB
              (mid point theorem)
∴ ΔPQR is an equilateral triangle