A triangle has sides A, B, and C. Sides A and B have lengths of 12 and 5, respectively. The angle between A and C is $\frac{11 π}{24}$ $(11pi)/24$ and the angle between B and C is $\frac{5 π}{24}$ $(5pi)/24$ . What is the area of the triangle?

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A triangle has sides A, B, and C. Sides A and B have lengths of 12 and 5, respectively. The angle between A and C is $\frac{11 π}{24}$ $(11pi)/24$ and the angle between B and C is $\frac{5 π}{24}$ $(5pi)/24$ . What is the area of the triangle?

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Answer 1 · 2016-08-07T21:09:06

$= 18$ $=18$

Explanation:

This is a triangle where base $b = 5$ $b=5$
Height $h = 12 sin (\frac{5 π}{24}) = 12 (0.6) = 7.2$ $h=12 sin((5pi)/24)=12(0.6)=7.2$
Area $= \frac{1}{2} (b) (h)$ $=1/2(b)(h)$
$= \frac{1}{2} (5) (7.2)$ $=1/2(5)(7.2)$
$= \frac{36}{2}$ $=36/2$
$= 18$ $=18$

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A triangle has sides A, B, and C. Sides A and B have lengths of 12 and 5, respectively. The angle between A and C is $\frac{11 π}{24}$ $(11pi)/24$ and the angle between B and C is $\frac{5 π}{24}$ $(5pi)/24$ . What is the area of the triangle?

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A triangle has sides A, B, and C. Sides A and B have lengths of 12 and 5, respectively. The angle between A and C is 11π24(11pi)/24 and the angle between B and C is 5π24 (5pi)/24. What is the area of the triangle?

1 Answer

Explanation:

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A triangle has sides A, B, and C. Sides A and B have lengths of 12 and 5, respectively. The angle between A and C is $\frac{11 π}{24}$ $(11pi)/24$ and the angle between B and C is $\frac{5 π}{24}$ $(5pi)/24$ . What is the area of the triangle?