The area of rhombus is $216$ $c m^{2}$ . If one of its diagonal is $24 c m,$ then find length of its other diagonal.

18 c m

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9 c m

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20 c m

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36 c m

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Solution

The correct option is A $18 c m$
The one diagonal $d_{1} = 24 c m$
Area of rhombus $= 216 c m^{2}$
Area of rhombus $= \frac{d_{1} d_{2}}{2}$
$\Rightarrow 216 = \frac{24 \times d_{2}}{2}$
$\Rightarrow d_{2} = \frac{2 \times 216}{24}$
$\Rightarrow d_{2} = 18 c m$

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