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22 December, 01:46

The side of rhombus is 14 in. The obtuse angle is 160º. Find the longer diagonal of the rhombus.

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  1. 22 December, 03:09
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    x = 27.57 in to the nearest hundredth.

    Step-by-step explanation:

    The longer diagonal is opposite the obtuse angle.

    Also as it is a rhombus all sides = 14 in.

    Use the Cosine Rule:

    x^2 = 14^2 + 14^2 - 2*14^2 cos 160

    x^2 = 760.36

    x = sqrt 760.36

    x = 27.57 in.
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