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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.


13 years ago

Answers

Reiny
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
13 years ago

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