Solve the triangle with the given parts a 253 m b 133 m c

Solve the triangle with the given parts. a = 25.3 m, b = 13.3 m, c = 15.6 m What is the degree measure of angle A? degree (Round to the nearest tenth as needed.) What is the degree measure of angle B? degree (Round to the nearest tenth as needed.) What is the degree measure of angle C? degree (Round to the nearest tenth as needed.)

Solution

a = 25.3 m

b = 13.3 m

c = 15.5 m

applying law of cosines

a^2 = b^2 + c^2 - 2bc cos A

25.3 ^2 = 13.3^2 + 15.6^2 - 2(13.3)(15.5) cos A

A = 122.0 degrees

13.3^2 = 25.3^2 + 15.6^2 - 2(25.3)(15.5) cos B

B = 26.5 degrees

15.6^2= 13.3^2 + 25.3^2 - 2(13.3)(25.3) cos C

C = 31.5 degrees