Question

Construct a quadrilateral PQRS in which QR = 7.5 cm, PR = PS = 6 cm, RS = 5 cm and QS =10 cm. Measure the fourth side.

Answer 1

Steps of Construction :

(i) Draw a line segment RS = 5 cm.

(ii) With centre R and S, radius 6 cm. each, draw arcs intersecting each other at P.

(iii) Join PR and PS.

(iv) With centre R and radius 7.5 cm. and with centre S and radius 10 cm, draw arcs intersecting each other at Q.

(v) Join RQ, SQ and PQ.

PQRS is the required quadrilateral.

Measuring the fourth sides PQ, it is 4.7 cm. (approx.)