If sides A and B of a triangle have lengths of 5 and 7 respectively, and the angle between them is $(5pi)/12$ , then what is the area of the triangle?

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Answer 1 · 2017-10-02T14:47:08

$16.90$

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Using the formula
$area=1/2ab sinC$
where $C$ is the angle between the two sides $a$ and $b$ .

$area=1/2(5)(7) sin((5pi)/12)$

$=1/2(35) sin((5pi)/12)$

$=17.5 sin((5pi)/12)$

$=16.90$ to 2 s.f

If sides A and B of a triangle have lengths of 5 and 7 respectively, and the angle between them is (5pi)/12(5pi)/12, then what is the area of the triangle?