# A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 9, respectively. The angle between A and C is #(5pi)/24# and the angle between B and C is # (7pi)/24#. What is the area of the triangle?

##### 1 Answer

Feb 15, 2016

9 square units

#### Explanation:

The sum of the 3 angles in a triangle

# = pi # the 2 angles here

# = (5pi)/24 + (7pi)/24 = pi/2 # which means that the 3rd angle

# = pi-pi/2 = pi/2# hence this is a right triangle , with C , the hypotenuse.

so area

# = 1/2 xx A xx B = 1/2 xx 2 xx 9 = " 9 square units"#