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?

1 Answer
sankarankalyanam
Jun 10, 2018

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

Explanation:

#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"#

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