Construct a quadrilateral ABCD in which BC = 7.5 cm, AC = AD = 6 cm, CD = 5 cm and BD = 10 cm.

Question

Philoid · Accepted Answer

Steps of construction:

Step I: Draw AC = 6 cm.

Step II: With A as the center and radius 6 cm, draw an arc.

Step III: With C as the center and radius 5 cm, draw an arc to intersect the arc drawn in Step II at D.

Step IV: With D as the center and radius 10 cm, draw an arc on the other side of AC.

Step V: With C as the center and radius 7.5 cm, draw an arc to intersect the arc drawn in Step IV at B.

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