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2 October, 13:23

A triangle is in the shape of a 30 degrees minus 60 degrees minus 90 degrees right triangle. If the hypotenuse of the outer triangle is 25 ft, find the lengths of the legs of the triangle, in inches.

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  1. 2 October, 16:44
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    150 inches 260 inches

    Step-by-step explanation:

    The sides of a 30°-60°-90° right triangle have the ratios ...

    1 : √3 : 2

    The shortest side is half the length of the hypotenuse, so is ...

    (25 ft) (12 in/ft) = 150 in

    The longer side is √3 times that length, so is about ...

    (150 in) √3 ≈ 259.808 in

    The legs of the triangle are 150 inches and about 260 inches.
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