Question

Using ruler and compasses only, construct the quadrilateral ABCD, having given AB = 5 cm, BC = 2.5 cm, CD = 6 cm. angle BAD = 90^o and the diagonal AC = 5.5 cm.

Answer 1

Steps:

1. draw AB = 5cm.

2. Now draw ∠XAB such that it is 90°.

3. Taking A and B as a center and radius 2.5 cm and 5.5 cm draw arcs cut off at C.

4. Now join BC and AC.

5. Taking C as a center and radius 6 cm draw arcs at D on AX.

ABCD is the required quadrilateral.