Question

Construct a quadrilateral PQRS in which PQ = 2.8 cm., QR = 3.1 cm.. RS = 2.6 cm.. SP = 3.3 cm. and ∠P = 60°.

Answer 1

First of all, we draw a rough sketch of the given measurements :

Steps of Construction

1. First of all, draw a line segment PQ = 2.8 cm.
2. At point P, we construct an angle of QPX = 60° with PQ with the help of pencil and compass. Take a arc of radius 3.3 cm. and cut PS from PX.
3. From point S draw an arc of radius 2.6 cm. and from point Q an arc of radius 3.1 cm. draw intersecting each other at point R. Join SR and QR.

Thus, we obtained a required quadrilateral PQRS.