A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 3, respectively. The angle between A and C is $(7pi)/24$ and the angle between B and C is $(13pi)/24$ . What is the area of the triangle?

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Answer 1 · 2017-06-22T13:49:00

The area of the triangle is $=1.5u^2$

The angle between $A$ and $B$ is

$=pi-(7/24pi+13/24pi)$

$=pi-(20/24pi)$

$=1/6pi$

The side $A$ is $=2$

The side $B$ is $=3$

$sin(1/6pi)=1/2$

The area of the triangle is

$A=1/2*2*3sin(1/6pi)$

$=1.5$

A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 3, respectively. The angle between A and C is (7pi)/24(7pi)/24 and the angle between B and C is (13pi)/24 (13pi)/24. What is the area of the triangle?