Question

How do you solve the triangle given `triangleABC, b=25, mangleB=45, mangleC=60`?

Answer 1

`color(green)(hat A = 75^@, a = 34.15, c = 30.61`

Explanation:

`color(blue)(b = 25, hat B = 45^@, hat C = 60^@`

Third angle `hat A = 180 - 45 - 60 = 75^@`

Applying law of sines,

`a = (b sin A) / sin B = (25 * sin 75) / sin 45 = 34.15`

`c = (b sin C) / sin B = (25 * sin 60) / sin 45 = 30.61`