A triangle has sides A, B, and C. The angle between sides A and B is $(5pi)/6$ and the angle between sides B and C is $pi/12$ . If side B has a length of 9, what is the area of the triangle?

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Answer 1 · 2018-06-10T02:15:59

$color(crimson)("Area of " Delta = 20.25 " sq units"$

$hat A = pi/12, hat C = (5pi) / 6, hat B = pi/12, b = 9$

$color(blue)("As angles " hat A , hat B " are equal, their sides will also be equal "$

$color(blue)(" and the " Delta " is isosceles"$

$:. a = b = 9$

$"Area of " Delta = (1/2) a b sin C = (1/2) * 9^2 * sin ((5pi)/6)$

$color(crimson)("Area of " Delta = 20.25 " sq units"$

A triangle has sides A, B, and C. The angle between sides A and B is (5pi)/6(5pi)/6 and the angle between sides B and C is pi/12pi/12. If side B has a length of 9, what is the area of the triangle?