A triangle has sides A, B, and C. Sides A and B have lengths of 1 and 5, respectively. The angle between A and C is $(7pi)/24$ and the angle between B and C is $(pi)/8$ . 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 1 and 5, respectively. The angle between A and C is $(7pi)/24$ and the angle between B and C is $(pi)/8$ . What is the area of the triangle?

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Answer 1 · 2016-03-03T07:30:29

$5(sqrt3+1)/(4sqrt2)$ areal units = 0.9859 areal units, nearly..

Explanation:

Using the sum of the angles is $pi$ , the third angle between side A and B is $7pi/12$ .
The area is $1/2ABsin(angle between A and B)$
$sin(7pi/12) = sin(pi/3+pi/4)$
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A triangle has sides A, B, and C. Sides A and B have lengths of 1 and 5, respectively. The angle between A and C is $(7pi)/24$ and the angle between B and C is $(pi)/8$ . What is the area of the triangle?

1 Answer

Explanation:

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Science

Math

Humanities

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A triangle has sides A, B, and C. Sides A and B have lengths of 1 and 5, respectively. The angle between A and C is (7pi)/24(7pi)/24 and the angle between B and C is (pi)/8 (pi)/8. 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 1 and 5, respectively. The angle between A and C is $(7pi)/24$ and the angle between B and C is $(pi)/8$ . What is the area of the triangle?