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 1, what is the area of the triangle?

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Answer 1 · 2018-02-17T04:29:44

Area of $Delta$ $A_t = (1/2) a b sin C = 0.183$

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$b = 1, hatA = pi/12, hatC = (3pi)/4$

$hat B = pi - pi/12 - (3pi)/4 = pi/6$

$a / sin A = b / sin B$

$a = ((1 * sin (pi/12)) / sin (pi/6) = 0.5176$

Area of $Delta$ $A_t = (1/2) a b sin C$

$A_t = (1/2) 0.5176 * 1 sin ((3pi)/4) = 0.183$

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 1, what is the area of the triangle?