If sides A and B of a triangle have lengths of 3 and 4 respectively, and the angle between them is #(7pi)/8#, then what is the area of the triangle? Trigonometry Triangles and Vectors Area of a Triangle 1 Answer sankarankalyanam May 4, 2018 #color(crimson)(Area = 2.3 " sq units"# Explanation: #a = 3, b = 4, hat C = (7pi)/8, Area = ?# #Area = (1/2) * a * b * sin C # #=> (1/2) * 3 * 4 * sin((7pi)/8) = 2.3 " 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 1335 views around the world You can reuse this answer Creative Commons License