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.

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