Question

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

Answer 1

Steps:

1.Draw AB = 5cm.

2. From A draw a line AY such that ∠A =90°.

3. Taking B as a center with radius 5.5 cm draw an arc at D on AY.

4. With D and B as center and radii, 6 cm and 2.5 cm draw arcs cutting each other at C.

5. Join DC and BC.

ABCD is the required quadrilateral.