The area of a rhombus is $216 s q . c m$ . If its one diagonal is $24 c m$ , find the length of its other diagonal.

20 c m

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16 c m

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18 c m

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None of the above

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Solution

The correct option is C $18 c m$
Area of a rhombus $= \frac{1}{2} \times (d_{1} \times d_{2})$
Given, Area $= 216 {c m}^{2}$
$=> \frac{1}{2} \times 24 \times d_{2} = 216 {c m}^{2}$
$∴ d_{2} = 18 c m$

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The area of a rhombus is 216sq.cm. If its one diagonal is 24cm, find the length of its other diagonal.

The correct option is C 18cmArea of a rhombus =12×(d1×d2)Given, Area =216cm2=>12×24×d2=216cm2∴d2=18 cm

The area of a rhombus is $216 s q . c m$ . If its one diagonal is $24 c m$ , find the length of its other diagonal.

The correct option is C $18 c m$
Area of a rhombus $= \frac{1}{2} \times (d_{1} \times d_{2})$
Given, Area $= 216 {c m}^{2}$
$=> \frac{1}{2} \times 24 \times d_{2} = 216 {c m}^{2}$
$∴ d_{2} = 18 c m$