Question

Construct a rhombus ABCD, when BC = 5.5 cm and ∠B = 60°.

Answer 1

Given:

• Rhombus ABCD
• Side BC = 5.5 cm
• Angle ∠B = 60°

Steps of construction:

1. Draw a line segment BC = 5.5 cm.
2. At point B, construct ∠PBC = 60° so that ray BP makes the angle 60° with BC.
3. Since ABCD is a rhombus, all sides are equal. So, from B along BP, cut off BA = 5.5 cm.
4. With center at A and radius 5.5 cm side length, draw an arc above BC.
5. With center at C and radius 5.5 cm, draw another arc to intersect the arc from A at point D.
6. Join points A to D and D to C.

ABCD is the required rhombus with BC = 5.5 cm and ∠B = 60°.