A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 11, respectively. The angle between A and C is (19pi)/24 and the angle between B and C is (pi)/24. What is the area of the triangle?
1 Answer
Feb 20, 2016
22
Explanation:
The interior angles in a triangle add up to
pi - pi/24 - {19pi}/24 = pi/6
The area of the triangle is given by the formula
1/2 xx A xx B xx sin theta
Therefore, the area of the above triangle is
1/2 xx 8 xx 11 xx sin(pi/6) = 22
