A rhombus has area $54 \text{ cm}^{2}$ and one diagonal $9$ cm. The other diagonal is:

A rhombus has area $54 \text{ cm}^{2}$ and one diagonal $9$ cm. The other diagonal is:
  1. $6$ cm
  2. $12$ cm
  3. $24$ cm
  4. $3$ cm

Solution

$\dfrac{1}{2}\times 9 \times d_{2} = 54 \Rightarrow d_{2} = 12$ cm.

Asked in: IMO

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