Question

Construct a triangle using the given data: PQ = 6.2cm, QR = 9.0cm and ∠Q = 30°

Answer 1

PQ = 6.2cm, QR = 9.0cm and ∠Q = 30°

Steps of Construction:
1. Draw a line segment PQ = 6.2cm
2. With Q as centre, draw an arc cutting PQ at M.
3. With M as centre and same radius, cut the arc at N. Join QN.
4. Bisect ∠NQP. Let QY be the bisector. QY makes an angle of 30° with PQ.
5. With Q as centre and radius 9cm cut an arc on QY. Mark the point as R.
6. Join PR.
Thus, PQR is the required triangle.