1.

2) Areaof a rhombusis 96sq.cm. One of thediagonals 12cm then, then tengthanother diagonal is​

Answer»

Given :

  • Area of rhombus = 96 cm²
  • LENGTH of first diagonal = 12 cm

To find :

  • Length of second diagonal

Knowledge Required :

→ FORMULA of Area of rhombus :-

  • Area of rhombus = 1/2 × d₁ × d₂

where,

  • d₁ = First diagonal
  • d₂ = Second diagonal

Solution :

Length of second diagonal :-

→ Area = 1/2 × d₁ × d₂

→ 96 = 1/2 × 12 × d₂

→ 96 = 6 × d₂

→ 96/6 = d₂

→ 16 = d₂

Therefore,

  • length of the second diagonal = 16 cm

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Verification :-

Substitute the VALUE of d₂ in 96 = 1/2 × 12 × d₂ to verify.

LHS = 96

Taking RHS,

→ 1/2 × 12 × d₂

→ 1/2 × 12 × 16

→ 6 × 16

→ 96

RHS = 96

LHS = RHS

Hence, verified.


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