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If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA then.
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- PQR must be an equilateral triangle
- PQ + QR + PR = AB
- PQ + QR + PR = 2 AB
- PQR must be a right angled triangle
- PQR must be an equilateral triangle
Correct Option: A
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. Hence PQR must be an equilateral triangle .