Question

How do you solve the triangle if you are given a=20, b=21, C=59 degrees?

Answer 1

Solve triangle knowing a = 20. b = 21 and C = 59
Answer: A = 56.84, B = 64.16, c = 20.10

Explanation:

Find A , B and c
Use the trig identity: `c^2 = a^2 + b^2 - 2bc.cos C`

`c^2 = 400 + 441 - 840.cos C`

`= 841 - 840(0.52) = 404.2` --> `c = 20.10`

sin A = (asin C)/c = 20(0.86)/20.10 = 0.86 -->`56.84` deg

Angle B = 180 - 59 - 56.84 = `64.16`