Question

How do you solve the triangle ABC given A=60, b=8, c=12?

Answer 1

`color(blue)(hat B = 40.9^@, hat C = 79.1^@, a = 10.58`

Explanation:

Law of Cosines

Law of sines

`a = sqrt(8^2 + 12^2 - (2 * 8 * 12 * cos 60)) = 10.58`

`hat B = sin ^-1 ((8 * sin 60) / 10.58) = 40.9^@`

`hat C = 180 - 60 - 40.9 = 79.1^@`