Question

In ∆ABC, if the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively, what are m < B and m
m B = 53.12°, and m C = 89.68°

m B = 89.68°, and m C = 53.13°

m B = 37.20°, and m C = 53.12°

m B = 53.13°, and m C = 37.19°

Answer 1

Since the 3 lengths of the triangle are given, one can use the Cosine law: b^2 = a^2 + c^2 -2ac cos(B) 18^2 = 22.5^2 + 13.6^2 -2(22.5)(13.6) cos(B) B = 53.12 deg Using Sine law for C 18/(sin (53.12)) = 13.6/(sin ( C)) C = 37.19 deg