Question 977937: The perimeter of a triangle is 186 m. Find the area if the interior angles are 50, 70, 60.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! The perimeter of a triangle is 186 m. Find the area if the interior angles are 50, 70, 60.
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Pick a length L for 1 of the sides, any positive number.
Find the other 2 sides, then the perimeter P.
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All triangles with these angles are similar, and P is directly related to the picked side length.
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L = 10
Perimeter = 33.57197472
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Multiply L by 168/P
a 55.40335354
b 62.6343707
c 67.96227419
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Perimeter = 185.9999984
Area = 1630.43914
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A small error due to round-off.
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