Solve the triangle.

Question

A=57°

B=52°

C=__°

a=14

b≈__

c≈__

Answer 1

C = 180 - 52 - 57 = 71 degrees.

From the law of sines, we have sin(57)/14 = sin(52)/b. Thus, b = (14·sin(52))/sin(57) ≈ 13.2

similarly, c = (14·sin(71))/sin(57) ≈ 15.8

Answer 2

Hi Richard P

C = 71°

b = 13.15

c = 15.78

Again I used the sum of the angles in a triangle and The Law of Sines to solve the missing parts

180-(57+52) = 71

14(sin52°)/sin57° = 13.15.

Please give it a try on your other problems.