Construct a quadrilateral ABCD in which BC = 4 cm, CA = 5.6 cm, AD = 4.5 cm, CD = 5 cm and BD = 6.5 cm.

Question

Philoid · Accepted Answer

Steps of construction:

Step I: Draw BC = 4 cm.

Step II: With B as the center and radius 6.5 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 C as the center and radius 5.6 cm, draw an arc on the same side.

Step V: With D as the center and radius 4.5 cm, draw an arc to intersect the arc drawn in Step IV at A.

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