A triangle has sides A, B, and C. Sides A and B have lengths of 12 and 5, respectively. The angle between A and C is $(7pi)/24$ and the angle between B and C is $(5pi)/24$ . What is the area of the triangle?

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Answer 1 · 2017-01-12T15:01:51

$area=30$

First, you would find the third angle:

$hat(AB)=pi-7/24pi-5/24pi=12/24pi=1/2pi$

Well, the triangle is a rectangle triangle!

So you would get the area by simply multiplying the two sides A and B and dividing by 2:

$area=A*B*1/2$

$=cancel12^6*5*1/cancel2=30$

A triangle has sides A, B, and C. Sides A and B have lengths of 12 and 5, respectively. The angle between A and C is (7pi)/24(7pi)/24 and the angle between B and C is (5pi)/24 (5pi)/24. What is the area of the triangle?