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5 July, 08:53

A building's rafter forms the hypotenuse of a 30°-60°-90° triangle with the roof's frame. If the rafter measures 9 feet, then the short leg measures ___ feet.

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  1. 5 July, 11:14
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    In a 30-60-90 triangle, if the short leg is x then the longer leg is x√3 and the hypotonuse is 2x

    so if the rafter (hyppotnuse) is 9ft then

    9ft=2x

    4.5ft=1x

    the short leg is 4.5ft
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