Question

Use the Law of Sines to solve the triangle. please help, anyone? Thank you. A = 50°, a = 12.6, b = 13.8 Case 1 find B, C, c Case 2 find B, C, c

Answer 1

Only one set of values possible.

`color(blue)(hat B = 57.03^@, hat C = 72.97^@, c = 15.73`

Explanation:

`hat A 50^@, a = 12.6, b = 13.8, " To find " hat B, hat C, c`

Applying the Law of Sines,

`sin B / b = sin A / a = sin C / c`

`B = sin ^-1 ((13.8 / 12.6) * sin 50 ) = 57.03^@`

`hat C = 180 - 50 - 57.03 = 72.97^@`

`c = (a * Sin C) / sin A = (12.6 * sin 72.97) / sin 50 = 15.73`