A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 10, respectively. The angle between A and C is #(5pi)/8# and the angle between B and C is # (5pi)/24#. What is the area of the triangle?
1 Answer
Mar 18, 2018
The area is
Explanation:
The area is half the product of two sides times the sine of the included angle between them. Here you have two sides but the other two angles. You need the third angle which is the one you want in the formula.
Use the fact that the angles of a triangle add up to
Then