Question

Find all solutions for a triangle with a=26, b=29, and A=58

Answer 1

Answer:    

a=26  

b=29

A=58 degrees  

Using the Law of sines we can fine angle B:

(sin A) / a = (sin B) / b multiply both sides by b

sin B = (sin A)(b / a)

sin B = (sin 58)(29/26)

sin B = 0.9458997995

B = arcsin 0.9458997995

B = 71 degrees approximately

C = 180 - (A + B)

C = 180 - (58 + 71)

C = 51 degrees

(sin A) / a = (sin C) / c

c = a((sin C)/(sin A))

c = 26(sin(51)/sin(58))

c = 23.83