Construct a quadrilateral ABCD given that AB = 8 cm, BC = 8 cm, CD = 10 cm, AD = 10 cm and ∠ A = 45°.

Question

Philoid · Accepted Answer

Steps of construction:

Step I: Draw AB = 8 cm.

Step II: Construct ∠ BAD = 45°.

Step III: With A as the centre and radius 10 cm, cut off AD = 10 cm.

Step IV: With D as the centre and radius 10 cm, draw an arc.

Step V: With B as the centre and radius 8 cm, draw an arc to intersect the arc drawn in Step IV at C.

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