Question

In △ABC, a=26, b=19, and c=17.2. Identify m∠C rounded to the nearest degree.

The figure shows triangle A B C. The length of segment A B is c units. The length of segment A C is b units. The length of segment B C is a units.

Answer 1

The answer is 41 degrees

Answer 2

41°

Explanation:

∠C is opposite of side c.

Using law of cosines:

c² = a² + b² − 2ab cos C

17.2² = 26² + 19² − 2(26)(19) cos C

cos C = 0.750

C ≈ 41°