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31 October, 13:48

Two sides of a parallelogram measure 60 centimeters and 40 centimeters. If one angle of the parallelogram measures 132, find the length of each diagonal.

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  1. 31 October, 14:06
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    By cosine rule, the length of the longer diagonal is sqrt (60^2 + 40^2 - 2 x 60 x 40 cos 132) = sqrt (8,411.83) = 91.7 cm

    The other angle of the parallelogram is 180 - 132 = 48

    The length of the shorter diagonal is sqrt (60^2 + 40^2 - 2 x 60 x 40 cos 48) = sqrt (1,988.17) = 44.6 cm
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