SOLUTION: find the area of a triangle (to the nearest tenth). list all possible solutions for the ambiguous case. B=44 degrees, C=72 degrees, a=15 m

Question 1111756: find the area of a triangle (to the nearest tenth). list all possible solutions for the ambiguous case.
B=44 degrees, C=72 degrees, a=15 m
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
find the area of a triangle (to the nearest tenth). list all possible solutions for the ambiguous case.
B=44 degrees, C=72 degrees, a=15 m
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Angle A = 180 - (44+72) = 64 degs
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Use the Law of Sines to find a 2nd side.
a/sin(A) = b/sin(B)
b = a*sin(B)/sin(A) =~ 11.593
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Area = base*ht/2
Area = a*b*sin(C)/2
Area =~ 82.7 sq meters
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There's no ambiguity since 3 angles are known.
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