SOLUTION: The area of a triangle is 50 square inches. Find the length of the side included between A = 25° and C = 100°. (Round your answer to one decimal place.) Thank you

Algebra ->  Trigonometry-basics -> SOLUTION: The area of a triangle is 50 square inches. Find the length of the side included between A = 25° and C = 100°. (Round your answer to one decimal place.) Thank you      Log On


   

Question 1005075: The area of a triangle is 50 square inches. Find the length of the side included between A = 25° and C = 100°. (Round your answer to one decimal place.)
Thank you
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
A drawing or labeled figure should be necessary. Here is a system through which three variables can be found and solved:

system%28%281%2F2%29by=50%2CAB%2Asin%2825%29=y%2Csin%28100%29%2F%28AB%29=sin%2825%29%2Fb%29;
Variable y is the height of the triangle using AC=b as the base, and the third last equation is use of Law Of Sines.

The analysis of the drawing (not shown here) can give the system; and then this system can be solved, and you can include finding b=AC. This is the base of the triangle. That is the strategy. I have not finished doing the solution but you should be able to.