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Aptitude · Q89

Triangles

Competitive Exams · Aptitude · question 89

Q89

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
Answer
B.
PQ + QR = PQR + AB
C.
PQ + QR = PR + 2AB
D.
PQR must be a right angled

Answer: Option A

Solution

Answer: Option A
Solution:
According to question,
Triangles mcq solution image
Given : P, Q and R are the mid points of AB, BC and AC
PQ || AC and PQ = AC
PR || BC and PR = BC
RQ || AB and RQ = AB
              (mid point theorem)
∴ ΔPQR is an equilateral triangle