Question

Construct a quadrilateral ABCD in which AB = BC = 3 cm, AD = CD = 5 cm and ∠B = 120°.

Answer 1

Steps of construction:

Step I: Draw AB = 3 cm.

Step II: Construct ∠ ABC = 120°.

Step III: With B as the center and radius 3 cm, cut off BC = 3 cm.

Step IV: With C as the center and radius 5 cm, draw an arc.

Step V: With A as the center and radius 5 cm, draw an arc to intersect the arc drawn in Step IV at D.

Step VI: Join AD and CD to obtain the required quadrilateral.