SOLUTION: Each side of the rhombus is 14 in. Long. Two of the sides form a 60 degree angle. Find the area of the rhombus. Round your answer to the nearest square inch.

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Question 835217: Each side of the rhombus is 14 in. Long. Two of the sides form a 60 degree angle. Find the area of the rhombus. Round your answer to the nearest square inch.
Answer by reviewermath(1029) About Me  (Show Source):
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Q:
Each side of the rhombus is 14 in. Long. Two of the sides form a 60 degree angle. Find the area of the rhombus. Round your answer to the nearest square inch.
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A:
Let h = height of the rhombus
and s = side
So, sin 60 degrees = h/s
h/s = sqrt%283%29%2F2
h = s%2Asqrt%283%29
h = 14%2Asqrt%283%29%2F2 = 7sqrt%283%29
base = side = 7sqrt%283%29
The area of the rhombus is equal to the product of base and height.
Area = 14%2A%287%2Asqrt%283%29%29highlight%28170%29 square inches