Question

Construct a rectangle PQRS in which QR = 3.6 cm and diagonal PR = 6 cm. Measure the other side of the rectangle.

Answer 1

Steps of Construction :

(i) Draw a line segment QR = 3.6 cm.

(ii) At Q, draw a ray QX making an angle of ${90}^{\circ }$.

(iii) With centre R and radius 6 cm. draw an arc which intersects QX at P.

(iv) Join PR.

(v) With centre P and radius equal to QR and with centre R and radius equal to QP, draw arcs intersecting each other at S.

(vi) Join PS and RS.

PQRS is the required rectangle.

The length of other side PQ = 4.8 cm.