Question

Construct a rhombus ABCD, when:
One side = 5.4 cm and one diagonal is 7.0 cm.

Answer 1

Steps:
1. We construct the segment AC = 7 cm.
2. With A as a centre and radius 5.4 cm, we draw an arc extending on both sides of AC.
3. With C as a centre and same radius as in step 2, we draw an arc extending on both sides of AC to cut the first arc at B and D.
4. Join AB, BC, CD and DA.

ABCD is the required rhombus.