# A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 6, respectively. The angle between A and C is (7pi)/24 and the angle between B and C is  (17pi)/24. What is the area of the triangle?

##### 1 Answer
Feb 8, 2017

Area: $\textcolor{g r e e n}{0}$

#### Explanation:

Since the internal angles of a triangle sum to $\pi$
and
$\angle \left(A : C\right) + \angle \left(B : C\right) = \frac{7 \pi}{24} + \frac{17 \pi}{24} = \pi$
$\Rightarrow \angle \left(A : B\right) = 0$

The area of this "triangle" is zero.
(It is not really a proper triangle; the 3 points are collinear).