Find the measure of angleC in the following triangle
Accepted Solution
A:
Answer:C = 58.88 degreesStep-by-step explanation:We can use the law of cosines to find the missing angle measurementc^2 = a^2 +b^2 -2ab cosCRearranging and solving for cos C2ab Cos C = a^2 +b^2 - c^2Divide by 2abcos(C) = a^2 + b^2 − c^2 ------------------------ 2abSubstituting what we know a = 31 b = 21 c = 27 31^2 + 21^2 - 27^2 cos C = ----------------------------- 2(31)(21) cos C = .516897081Take the inverse cos on each sidecos^-1 cos C = cos ^-1 (.516897081)C = 58.88 degrees