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21 August, 07:48

How do i find the missing side lengths of a 30/60/90 triangle if it has a hypotenuse of 7?

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  1. 21 August, 08:04
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    The shortest side (the one opposite the 30o angle) is 1/2 the hypotenuse.

    The shortest side = 7/2 = 3.5

    The other side can before using a^2 + b^2 = c^2

    c = 7

    b = 3.5

    a = x

    x^2 + 3.5^2 = 7^2

    x^2 + 12.25 = 49

    x^2 = 36.75

    x = sqrt (36.75)

    x = 6.062

    Check

    6.062^2 + 3.5^2 = ? 7^2

    36.75 + 12.25 = 49

    49 = 49 It does check.
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