Select the correct answer from each drop-down menu. In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively. m∠B = º, and m∠C = º. Round off your answers to two decimal places.
Accepted Solution
A:
the complete question in the attached figure
we have that In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters
we can apply the Cosine Law to find the angles of the triangle.
find angle C c²=a²+b²-2ab*cosC cos C=(a²+b²-c²)/(2ab)--------> cos C=(22.5²+18²-13.6²)/(2*22.5*18) cos C=0.7967 C=arc cos (0.7967)-----------> C=37.19°
find angle B b²=a²+c²-2ac*cosB cos B=(a²+c²-b²)/(2ac)--------> cos B=(22.5²+13.6²-18²)/(2*22.5*13.6) cos B=0.60 B=arc cos (0.60)-----------> B=53.12°