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.