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? Trigonometry Triangles and Vectors Area of a 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"# Answer link Related questions How do you find the area of a triangle with 3 sides given? What is the area of a equilateral triangle with a side of 12? How do you find the area of a triangleABC, if #angleC = 62^@#, #b = 23.9# , and #a = 31.6#? How do you find the area of a triangleGHI, if #angleI = 15^@#, #g = 14.2# , and #h = 7.9#? What is Heron's formula? When do you use Heron's formula to find area? How do you find the area of a triangle ABC, if #a = 23#, #b = 46# , and #c = 41#? Question #f2e4c How do you find the area of the triangle given c= 4, A= 37 degrees, B= 69 degrees? How do you find the area of the triangle given C=85 degrees, a= 2, B= 19 degrees? See all questions in Area of a Triangle Impact of this question 1709 views around the world You can reuse this answer Creative Commons License