Question

Solve the following triangle. Upper A equals 140 degrees comma Upper C equals 10 degrees comma c equals 7

Answer 1

`A=140^\circ, C=10^\circ, c=7^\circ`

`B = 180^\circ - A - C = 30^\circ`

Law of Sines:

`(a)/(\sin A) = (b)/(\sin B) = (c)/(\sin C)`

`a= c \cdot (\sin A)/(\sin C) = 7 \cdot (\sin 140)/(\sin 10) \approx 25.9`

`b = c \cdot (\sin B)/(\sin C) = 7 \cdot (\sin 30)/(\sin 10) \approx 20.2`