Solve the triangle ABC a 73 c 82 B 58degreeSolutiona 73

Solve the triangle ABC: a = 73, c = 82, B = 58degree.

a = 73 ; c = 82 ; B = 58 deg

apply cosine rule:

b^2 = a^2 +c^2 -2accosB

= 73^2 +82^2 -2*73*82cos58

b = 75.56

Apply sine rule: a/sinA = b/sinB

sinA = a*sinB/b = 73*sin58/75.56 = 0.819

A = 55.01 deg

C = 180 - A1 -B =180 -55.01 -58 = 66.99 deg