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If each side of a rhombus is 15 cm and length of one of its diagonal is 24 cm, then area of rhombus is

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a

432 cm²

b

216 cm²

c

180 cm²

d

144 cm²

answer is B.

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Detailed Solution

For rhombus
$a^{2} = {(\frac{d_{1}}{2})}^{2} + {(\frac{d_{2}}{2})}^{2} \Rightarrow 15^{2} = {(\frac{24}{2})}^{2} + {(\frac{d_{2}}{2})}^{2} \Rightarrow d_{2} = 18 cm$
Area of rhombus $= \frac{1}{2} \times d_{1} \times d_{2} = \frac{1}{2} \times 24 \times 18 = 216 {cm}^{2}$

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