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Geometry

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Two sides of a rhombus form a 120º angle. The length of each side is 6 in. Explain how to find the area of the rhombus, and then calculate the area. Leave your answer in simplest radical form.

  • Geometry - ,

    For any triangle with sides a and b,
    the area is (1/2)ab sinØ , where Ø is the angle between them
    Your rhombus can be split into 2 congruent triangles
    so the area of a rhombus would be
    absinØ,
    = (6)(6)sin120° = 36(√3/2)
    = 18√3 square inches

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