Question

Construct a∆pqr in which∆q=60°,∆r=30°and pq+ qr+rp=12.5cm

Answer 1

1.Draw a line segment AB = 12.5 cm.

2.Construct angle 60° at point A and angle 30° at point B.

3.Draw angle bisectors to angles A and B.

4.Let these angle bisectors intersect at point P.

5.Draw perpendicular bisector to line segment AP.

6.Let this bisector meet AB at Q.

7.Draw perpendicular bisector to line segment BP.

8.Let this bisector meet AB at R.

9.Join PQ and PR.

PQR is the required triangle.