Question

Draw a rhombus of sides 6 centimetres and one angle 60°; then draw a right triangle of the same area.

Answer 1

Draw rhombus ABCD.

∠A = ∠C = 60° and ∠B = ∠D = 120°

Draw diagonal BD. Draw line parallel to BD through C and AB produced intersect at point E. Now area of rhombus is same as the area of ∆ ADE and ∆ ACE. Lines AC bisect ∠A and ∠C.

∴ Angles of ∆ADE is equal to 30°, 60°, 90°

∴ The triangles drawn are right-angled triangles.