SOLUTION: The perimeter of a triangle ABC is 400 cm. if angle A is 30 degree and angle B is 58 degree. Find the measure of side AC.

Question 766551: The perimeter of a triangle ABC is 400 cm. if angle A is 30 degree and angle B is 58 degree. Find the measure of side AC.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
A drawing would be according to angle at C is 92 degrees. Side length opposite A is a; side length opposite B is b; side length opposite C is c.

Given perimeter means .
Law of Sines gives:

A couple more equations that come from them are:
and

Use those last two to substitute into the perimeter.
Also make use of the b= equation again since b still shows in this substitution.

.some couple steps..
.calculator or table of trigonometric function values...

From that, other simpler law of sine relationships give and
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