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16 January, 08:48

Find the area of a parallelogram with sides of 12 inches and 8 inches if one of the angles is 120

degrees

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  1. 16 January, 12:17
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    Area = base x height

    We know that one angle is 120 degrees, and therefore obtuse.

    By which, the angle is 30 degrees past what a square would be (90 degrees on all angles).

    To solve for the height, we just need to use the cosine function. In this case, cos (30) = h/8. Therefore, the height of the parallelogram is 8cos (30) = 4*sqrt (3) Meaning the area is equal to 48*sqrt (3)
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