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17 August, 09:12

One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhombus? (Hint: Diagonals of a rhombus bisect the angles.) 7 in. 8 in. 11 in.

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  1. 17 August, 09:16
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    The value of the length of the rhombus will be found as follows:

    cos θ=adjacent / hypotenuse

    θ=108/2=54°

    adjacent = 9/2=4.5 inch

    hypotenuse=length of the rhombus

    thus

    cos 54=9/x

    x=4.5/cos 54

    x=7.6558~8 inches

    the answer is 8 inches
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