Construct a quadrilateral ABCD given AD = 3.5 cm, BC = 2.5 cm, CD = 4.1 cm, AC = 7.3 cm and BD = 3.2 cm.

Question

Philoid · Accepted Answer

Steps of construction:

Step I: Draw CD = 4.1 cm.

Step II: With C as the center and radius 7.3 cm, draw an arc.

Step III: With D as the center and radius 3.5 cm, draw an arc to intersect the arc drawn in Step II at A.

Step IV: With D as the center and radius 3.2 cm, draw an arc on the other side of AC.

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

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