A triangle has sides A, B, and C. Sides A and B have lengths of 3 and 5, respectively. The angle between A and C is $(3pi)/8$ and the angle between B and C is $(5pi)/12$ . What is the area of the triangle?

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Answer 1 · 2017-07-23T08:05:24

The area of the triangle is $=4.57u^2$

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The lengths of the sides are

$a=3$

$b=5$

The angles are

$hatA=5/12pi$

$hatB=3/8pi$

Therefore,

$hatC=pi-(5/12pi+3/8pi)=pi-19/24pi=5/24pi$

The area of the triangle is

$area=1/2ab sin (hatC)$

$=1/2*3*5*sin(5/24pi)$

$=4.57u^2$

A triangle has sides A, B, and C. Sides A and B have lengths of 3 and 5, respectively. The angle between A and C is (3pi)/8(3pi)/8 and the angle between B and C is (5pi)/12 (5pi)/12. What is the area of the triangle?