Question

Construct a quadrilateral ABCD, when:
BC = 7.5 cm AC = 5.8 cm, AD = 3.6 cm, CD = 4.2 cm and angle A = 120°.

Answer 1

Steps:
1. Draw AD = 3.6 cm
2. draw AP such that ∠A = 120°.
3. With A and D as a center and radii 5.8 cm and 4.2 cm draw arcs cutting each other at C.
4. Now join AC and CD.
5. Now with C as center and radii 7.5 cm draw an arc at B on AP.
6. Now join CB.

ABCD is the required quadrilateral.