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?

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Answer 1 · 2016-09-20T13:48:07

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

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.

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/4pi/4 and the angle between B and C is pi/2 pi/2. What is the area of the triangle?