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21 August, 23:36

In rhombus ABCD, AB=10 and the measure of angle ABC=120°. Find BD.

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  1. 21 August, 23:50
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    Using the side length as the hypotenuse of a right triangle and half the given angle as the adjacent angle. Find the length of the base of a right triangle. This would be half the length of BD.

    Cos (60) = adjacent leg / 10

    adjacent leg = cos (60) x 10

    Adjacent leg = 5

    Length of BD = 5x 2 =

    10
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