Find the length of long leg in the given figure where hypotenuse = 14.

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7 \sqrt{2}

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7 \sqrt{3}

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Solution

The correct option is C $7 \sqrt{3}$
In the given triangle
$cos 30^{\circ} = \frac{L L}{H} \Rightarrow \frac{\sqrt{3}}{2} = \frac{L L}{14} \Rightarrow L L = \frac{14 \sqrt{3}}{2} = 7 \sqrt{3}$

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If the legs of an isosceles right triangle are 5 cm long, approximate the length of the hypotenuse to the nearest whole number.

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