Question

Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

Answer 1

Side of rhombus = 6 cm

Altitude of rhombus = 4 cm

Since rhombus is a parallelogram, therefore area of parallelogram = base× altitude

Area of parallelogram = 6 × 4 = 24 cm²

Area of parallelogram = area of rhombus

Area of rhombus = \(\frac{1}{2}\)x d₁ x d₂

24 = \(\frac{1}{2}\)x 8 x d₂

d₂ = \(\frac{24}{4}\) = 6

Hence, length of other diagonal of rhombus is 6 cm