Posted by **Rachel** on Monday, February 13, 2012 at 11:14pm.

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 -
**Reiny**, Tuesday, February 14, 2012 at 8:49am
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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