Question

How do you solve the triangle given `triangleABC, a=10, b=12, mangleB=30`?

Answer 1

`color(blue)(hat A = 24.62, hat C = 125.38, c = 19.57`

Explanation:

`color(blue)(a = 10, b = 12, hatB = 30^@`

Applying law of sines,

`hat A = sin ^-1 ((a * sin B)/b) = sin ^-1 ((10 * sin 30)/12) = 24.62^@`

`hat C = 180 - 30 - 24.62 = 125.38^@`

`c = (sin C * b)/ sin B = (sin 125.38 * 12) / sin 30 = 19.57`