Question

Construct a quadrilateral ABCD in which AB = BC = 3 cm., AD = 5 cm., ∠A = 90° and ∠B = 105°.

Answer 1

First of all we draw a rough sketch of the given measurements :

Steps of Construction

1. First of all we draw a line segment AB = 3 cm.
2. At point A we construct ∠BAX = 90° with AB and cut AD = 5.0 cm.
3. Similarly, we construct at point B, ∠ABY = 105° with AB and an arc of 3 cm. on BY is cut. Mark this point as C.
4. Join CD.

Thus, we obtained the required quadrilateral ABCD.