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Use the law of sines to find the missing side of the triangle below. Estimate answer to one decimal place.

Use the law of sines to find the missing side of the triangle below Estimate answer to one decimal place class=

Respuesta :

First, we must find angle c: 
180 - (73 + 42) = 65 degrees
Then, we use the question fro, the law of sine, which is: 
angle A/ side A = angle B/ side B = angle C/ side C
The side this is opposite to the angle, it's the angle that we use. So, opposite to angle C is 28.7 . We have the equation:
65°/28.7 = 73°/a
Cross multiply and divide, and we get a = 32.2
The answer is most likely 27.4 approximately 27