Question

Construct an isosceles triangle PQR in which PQ = PR, base QR = 5.6 centimetres, angle PQR = 75 degrees using a ruler and a pair of compasses. Draw its lines/line of symmetry.

Answer 1

Since the angles opposite to the equal sides of an isosceles triangle are equal, we draw a 75 degree angle at R. The point at which the rays from Q and R meet is named P. We will find that PQ = PR.