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  1. If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA then.
    1. PQR must be an equilateral triangle
    2. PQ + QR + PR = AB
    3. PQ + QR + PR = 2 AB
    4. PQR must be a right angled 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 .



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