A triangle has sides A, B, and C. Sides A and B are of lengths $12$ and $8$ , respectively, and the angle between A and B is $(11pi)/12$ . What is the length of side C?

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A triangle has sides A, B, and C. Sides A and B are of lengths $12$ and $8$ , respectively, and the angle between A and B is $(11pi)/12$ . What is the length of side C?

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Answer 1 · 2017-05-19T02:50:30

$c = 19.8$

Explanation:

Law of Cosines equation is $c^2 = a^2 + b^2 – 2*a*b*cos(gamma)$ .
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$c^2 = 12^2 + 8^2 – 2*12*8*cos(11π/12)$ .
$c^2 = 144 + 64 – 192*(-0.966)$ .
$c^2 = 393.5$ : $c = 19.8$

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A triangle has sides A, B, and C. Sides A and B are of lengths $12$ and $8$ , respectively, and the angle between A and B is $(11pi)/12$ . What is the length of side C?

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Explanation:

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A triangle has sides A, B, and C. Sides A and B are of lengths 1212 and 88, respectively, and the angle between A and B is (11pi)/12 (11pi)/12 . What is the length of side C?

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A triangle has sides A, B, and C. Sides A and B are of lengths $12$ and $8$ , respectively, and the angle between A and B is $(11pi)/12$ . What is the length of side C?