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Mathematics

Area of a rhombus is 90 cm2. If the length of one diagonal is 10 cm then the length of other diagonal is

  1. 18 cm

  2. 9 cm

  3. 36 cm

  4. 4.5 cm

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Answer

Let diagonals be d1 and d2.

By formula,

Area of rhombus = 12\dfrac{1}{2} × d1 × d2

Substituting values we get,

⇒ 90 = 12\dfrac{1}{2} × 10 × d2

⇒ d2 = 90×210\dfrac{90 \times 2}{10}

⇒ d2 = 18 cm.

Hence, Option 1 is the correct option.

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