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14 August, 03:12

Find the length of the short leg of a 30-60-90 triangle if the long leg is 3cm

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  1. 14 August, 04:23
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    Short leg = √3 cm

    Step-by-step explanation:

    the opposite angle of long leg is 60°

    hypotenuse : x

    sin 60° = 3/x = √3 / 2

    x = (3 x 2) / √3 = 2√3

    short leg length (s)

    Cos 60° = 1/2 = s / x = s / 2√3

    s = √3
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