The area of a rhombus is $240 \text{ cm}^{2}$ and one diagonal is $20$ cm. Find the other diagonal.

The area of a rhombus is $240 \text{ cm}^{2}$ and one diagonal is $20$ cm. Find the other diagonal.
  1. $12$ cm
  2. $24$ cm
  3. $48$ cm
  4. $15$ cm

Solution

$\dfrac{1}{2}\times 20 \times d_{2} = 240 \Rightarrow d_{2} = \dfrac{240}{10} = 24$ cm.

Asked in: IMO

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