Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.4 cm, CD = 4.5 cm, AD = 5 cm and ∠ B = 80°.

Question

Philoid · Accepted Answer

Steps of construction:

Step I: Draw AB = 3.8 cm.

Step II: Draw ∠ ABC = 80°.

Step III: With B as the center and radius 3.4 cm, cut off BC = 3.4 cm.

Step IV: With C as the center and radius 4.5 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 AD, BC and CD to obtain the required quadrilateral.