Question

The area of rhombus is 120 cm2 and one of the diagonals is 8 cm. Find the other

diagonal.​

Answer 1

Answer :

Given :

• Area of Rhombus - 120 cm²

• One diagonal - 8 cm ( d1 )

To Find :

• Other Diagonal ( d2 )

Formulae To Find :

Area Of Rhombus - 1 / 2 × d1 × d2

Solution :

⟼ 1/ 2 × d1 × d2 = 120

⟼ 1/ 2 × 8 × d2 = 120

⟼ 4 × d2 = 120

⟼ 4d2 = 120

⟼ d2 = 120 / 4

⟼ d2 = 30

∴ The other Diagonal = 30 cm.

Let's Check :

⟼ 1 / 2 × d1 × d2 = 120

⟼ 1 / 2 × 8 × 30 = 120

⟼ 1 / 2 × 240 = 120

⟼ 120 = 120

LHS = RHS

∴ Diagonal = 30 cm