Construct a quadrilateral ABCD given AD = 5 cm, A B = 5.5 cm, BC = 2.5 cm, AC = 7.1 cm and BD = 8 cm.

Question

Philoid · Accepted Answer

Steps of construction:

Step I: Draw AB = 5.5 cm.

Step II: With A as the center and radius 7.1 cm, draw an arc.

Step III: With B as the center and radius 2.5 cm, draw an arc to intersect the arc drawn in Step II at C.

Step IV: With B as the center and radius 8 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 DA, DB, BC, AC, and CD to obtain the required quadrilateral.