A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 7, respectively. The angle between A and C is $(13pi)/24$ and the angle between B and C is $(5pi)/24$ . What is the area of the triangle?

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Answer 1 · 2017-06-16T06:37:36

The area is $=9.9u^2$

The angle between $A$ and $B$ is

$=pi-(13/24pi+5/24pi)$

$=pi-18/24pi$

$=6/24pi=1/4pi$

The area of the triangle is

$=1/2*A*B*sin(1/4pi)$

$=1/2*4*7*sqrt2/2$

$=7sqrt2$

$=9.9$

A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 7, respectively. The angle between A and C is (13pi)/24(13pi)/24 and the angle between B and C is (5pi)/24 (5pi)/24. What is the area of the triangle?