Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.0 cm, AD = 2.3 cm, AC = 4.5 cm and BD = 3.8 cm.

Question

Philoid · Accepted Answer

Steps of construction: Step I: Draw AC = 4.5 cm.

Step II: With A as the center and radius 3.8 cm, draw an arc.

Step III: With C as the center and radius 3.0 cm, draw an arc to intersect the arc drawn in Step II at B.

Step IV: With B as the center and radius 3.8 cm, draw an arc on the other side of AC.

Step V: With A as the center and radius 2.3 cm, draw an arc to intersect the arc drawn in Step IV at D.

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