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Tpy6a [65]
3 years ago
6

Given a triangle with a = 16, A = 39 degrees, and B = 28 degrees, what is the length of c? Round to the nearest tenth.

Mathematics
1 answer:
Alina [70]3 years ago
7 0
Firstly, solve for the value of angle C by using the concept that the sum of the three angles of a triangle should be 180 degrees. 
                       C = 180 - (A + B) = 180 - (39 + 28) = 113 degrees
After which, use the concept of sine law which state that the ratio of sine of the angle to the side opposite to it should be equal,
                       (sin A / a) = (sin C / c)    ;    (sin 39 / 16) = (sin 113 / c)
Solving for c gives an answer of c = 23.40.
                            
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