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15 June, 09:28

The shorter leg of a 30°-60°-90° triangle measures 3 inches. What is the length of the longer leg?

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  1. 15 June, 12:57
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    For a 30°-60°-90° triangle, the sides will have a ratio of 1:sqrt (3) : 2. Therefore if the shortest side (across the 30 ° angle) has a length ratio of 1, then the longer leg has a length ratio of sqrt (3). Therefore we have the proportion:

    3 inches/1 = x/sqrt (3)

    x = 3sqrt (3) inches

    Note that the side of length ratio 2 is the hypotenuse, not the longer leg.
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