Question

area of rhombus is 240 cm^2 and one of its diagonal is 10 cm ^2 . find the other diagonal​

Answer 1

Given

• Area of rhombus = 240 cm²
• One of the diagonal = 10 cm

To find

• The other diagonal

Solution

Formula to be used :-

❖ Area of rhombus = 1/2 × d₁ × d₂

Where,

• d₁ = The first diagonal
• d₂ = The second diagonal

Substiuting the given values,

⟼ 240 = 1/2 × 10 × d₂

⟼ 240 = 5 × d₂

⟼ 240/5 = d₂

⟼ 48 = d₂

❖ The other diagonal = 48 cm

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Verification :-

• Area of rhombus = 1/2 × d₁ × d₂

• Area of rhombus = 240 cm²
• d₁ = 10 cm
• d₂ = 48 cm

★ 240 = 1/2 × 10 × 48

Taking Rhs

⟼ 1/2 × 10 × 48

⟼ 5 × 48

⟼ 240

Lhs = Rhs

Hence, verified.