In a ΔABC = BC, and P, Q and R are the midpoints of the sides AB, BC and AC, respectively. If PR = 5 cm, then find the length of QR.

5 cm

According to the question,

PR = 5 cm

then,

BC = 2 x PR = 10 cm

(The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is half of the length of the third side.)

In \(\Delta \)ABC, if AB = BC,

then, AB = 10 cm

So, the from mid point theorem,

QR = \(\frac{AB}{2}\) = \(\frac{10}{2}\) = 5 cm

Therefore, the answer is 5 cm.