SOLUTION: two angle of a triangle are 40* and 15* and the longest side is 52ft. Find the length of the shortest side. How do I find the length of the shortest side?

Algebra ->  Trigonometry-basics -> SOLUTION: two angle of a triangle are 40* and 15* and the longest side is 52ft. Find the length of the shortest side. How do I find the length of the shortest side?       Log On


   

Question 299423: two angle of a triangle are 40* and 15* and the longest side is 52ft. Find the length of the shortest side. How do I find the length of the shortest side?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: The largest angle is 180-%2840%2B15%29=125 and the longest side of 52 ft will be opposite the largest angle. Similarly, the shortest side, call it 'x', will be opposite the smallest angle 15 degrees.


Now simply use the law of sines to get x%2Fsin%2815%29=52%2Fsin%28125%29. I'll let you solve for 'x'.