# A triangle has sides A, B, and C. Sides A and B have lengths of 6 and 8, respectively. The angle between A and C is pi/4 and the angle between B and C is  pi/2. What is the area of the triangle?

Sep 20, 2016

Refer to the Explanation, and, kindly check the Problem.

#### Explanation:

Let us denote, by $\left(\hat{B , C}\right)$ the angle btwn. sides B, &, C.

By what is given, $\left(\hat{B , C}\right) = \frac{\pi}{2}$.

$\therefore \text{ The side opposite to "(hat(B,C))", i.e., the side } A ,$ has to be

the Hypotenuse, &, hence, it has to be the longest side of the

$\Delta$, or, $A > B , \mathmr{and} , C \ldots \ldots \ldots \ldots \ldots \left(\star\right)$.

Here, $A = 6 , B = 8 , \text{ which contradicts } \left(\star\right)$.

So, Kindly check the Problem.