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

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Question 1103458: Determine the area of a triangle specified by a = 7ft, A = 78°, B = 52°
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
Take a=7 as the base for the triangle.
Angle C measure is 50 degrees.
Now you know all three angles, and one given side.

b%2Fsin%2852%29=7%2Fsin%2878%29

b=7sin%2852%29%2Fsin%2878%29

HEIGHT:
b%2Asin%2850%29
7%28sin%2852%29%2Fsin%2878%29%29%2Asin%2850%29
h=%287%2Asin%2852%29sin%2850%29%29%2Fsin%2878%29

AREA:
%281%2F2%29a%2Ah, h for height, a for the base, a=7.

Just make the substitutions and compute the expression for area.