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A rhombus has sides of 13 cm and one diagonal of 24 cm. What is its area?

Competition practiceGeometry

A $120 cm^{2}$
B $156 cm^{2}$
C $240 cm^{2}$
D $60 cm^{2}$

Step-by-Step Solution

Half the known diagonal is 12, so half the other is

1 3^{2} - 1 2^{2} = 5

and that diagonal is 10 cm. Area

= \frac{1}{2} \times 24 \times 10 = 120 cm^{2}

.

Answer: A)

120 cm^{2}

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