Question

How do you solve the triangle given A=110°, a=125, b=100?

Answer 1

`color(blue)(Delta " " A_t = (1/2) a b sin C = 2316 " sq units"`

Explanation:

`a = 125, b = 100, hat A = 110^@`

Applying the Law of Sines,

`sin B = (b * sin A) / a = (100 * sin 110) / 125 = 0.7518`

`hat B = sin ^ -1 0.7518 = 48.75^@`

`hat C = 180 - 110 - 48.75 = 21.25^@`

`Delta " " A_t = (1/2) a b sin C = (1/2) * 125 * 100 * sin 21.25 = 2316`