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?

1 Answer
Sep 20, 2016

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

Explanation:

Let us denote, by #(hat(B,C))# the angle btwn. sides #B, &, C.#

By what is given, #(hat(B,C))=pi/2#.

#:." 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, #AgtB, and, C...............(star)#.

Here, #A=6, B=8," which contradicts "(star)#.

So, Kindly check the Problem.