Question

Construct a triangle PQR whose perimeter is equal to 14 cm, $\angle P={45}^{o}and\angle Q={60}^o$

Answer 1

Steps of Construction

Step 1: Draw a line segment XY = 14 cm

Step 2 : Construct $\angle YXD=\angle P={45}^{o}and\angle XYE=\angle Q={60}^o$

Step 3 : Draw the bisectors of angles $\angle YXDand\angle XYE$ and mark their point of intersection as R.

Step 4 : Draw right bisectors of RX and RY meeting XY at P and Q respectively.

Step 5 : Join PR and QR to obtain the required triangle PQR.