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
This Question Belongs to Arithmetic Ability >> Triangles
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