A triangle has sides A, B, and C. The angle between sides A and B is $(3pi)/4$ and the angle between sides B and C is $pi/12$ . If side B has a length of 12, what is the area of the triangle?

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Answer 1 · 2018-06-10T02:11:31

$color(maroon)("Area of " Delta = 26.35 " sq units"$

$hat A = pi/12, hat C = (3pi)/4, hat B = pi/6, b = 12$

To find Area of the triangle.

$a = (b * sin A) / sin B = (12 * sin (pi/12)) / sin (pi/6) = 6.21$

$"Area of " Delta = (1/2) a b sin C = (1/2) * 12 * 6.21 * sin ((3pi)/4)$

$color(maroon)("Area of " Delta = 26.35 " sq units"$

A triangle has sides A, B, and C. The angle between sides A and B is (3pi)/4(3pi)/4 and the angle between sides B and C is pi/12pi/12. If side B has a length of 12, what is the area of the triangle?