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
AnswerB.
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,
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