Solve the triangle A 224 b 145 c 354 What is the degree m

Solve the triangle. A = 22.4 b = 14.5 c = 35.4 What is the degree measure of angle A? (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth if needed.) What is the degree measure of angle B? (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth if needed.) What is the degree measure of angle C? (Simplify your answer Type an integer or a decimal. Round to the nearest tenth if needed.) Enter your answer in each of the answer boxes.

Solution

a=22.4,b=14.5,c=35.4

We have to use cosine law here

which is cos A= (b²+c²-a²)/2bc

             cos A= (14.5²+35.4²-22.4²)/2(14.5)(35.4)

             cos A= 961.65/ 1026.6

                 A= 20.5 degree

cos B=(a²+c²-b²)/2ac=(22.4²+35.4²-14.5²)/2(22.4)(35.4)= 1544.67/ 1585.92

cos B= 1544.67/1585.92

B=13.1 degree

C= 180-(A+B)= 146.4 degree