Question

Construct a quadrilateral ABCD, when AB = 4 cm, ∠B = 60°, BC = 5.5 cm, ∠C = 90°, CD = 3.5 cm.

Answer 1

Given:

• AB = 4 cm
• ∠B = 60°
• BC = 5.5 cm
• ∠C = 90°
• CD = 3.5 cm

Steps of construction:

1. Draw the line segment BC = 5.5 cm.
2. At point B, construct an angle of 60° (∠B = 60°).
3. From point B along the angle constructed, cut off BA = 4 cm.
4. At point C, construct an angle of 90° (∠C = 90°).
5. From point C along the angle constructed, cut off CD = 3.5 cm.
6. Join points A and D.

Thus, quadrilateral ABCD is constructed with the given conditions.