SOLUTION: Determine the area of a triangle specified by a = 7ft, A = 78°, B = 52°

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Question 1103768: Determine the area of a triangle specified by a = 7ft, A = 78°, B = 52°
Answer by josgarithmetic(39632) About Me  (Show Source):
You can put this solution on YOUR website!
You need to draw the triangle to see and label the parts.

Angle at C is 50 degrees.

Find c, opposite of angle at C using Law of sines...
c=7%2Asin%2850%29%2Fsin%2878%29

Find height of the triangle, using a or BC as the base, given as 7 for base,
7%2Asin%2850%29%2Asin%2852%29%2Fsin%2878%29

Triangle Area, %281%2F2%29%28base%29%28height%29
%281%2F2%29%2A7%2A%287%2Asin%2850%29%2Asin%2852%29%2Fsin%2878%29%29
Compute this.