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

If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA then
[A]PQR must be a right angled triangle
[B]PQR must be an equilateral triangle
[C]PQ + QR + PR = AB
[D]PQ + QR + PR = 2AB

PQR must be an equilateral triangle
The line segments joining the mid points of the sides of a triangle form four triangles, each of which is similar to the original triangle.
So PQR must be an equilateral triangle.

Originally written on July 1, 2016 and last modified on July 1, 2016.

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