Question

Construct a quadrilateral PQRS. In which PS = 6.0 cm., SR = 5.0 cm., RQ = 7.5 cm., PR = 6.0 cm. and SQ = 10.0 cm.

Answer 1

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

Steps of Construction

1. First of all, we draw a line segment PQ = 7.5 cm.
2. Draw an arc of radius 6 cm. from point P and an arc of radius 10 cm. from point Q intersecting each other at S. Join PS and QS. So, we obtained triangle PQS.
3. Draw, an arc of 6 cm. from point P and an arc of radius 7.5 cm. from point Q intersecting each other at R. Join PR, QR, and SR.

Thus, we obtained the required quadrilateral PQRS: