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:

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

$a= c \cdot \dfrac{\sin A}{\sin C} = 7 \cdot \dfrac{\sin 140}{\sin 10} \approx 25.9$

$b = c \cdot \dfrac{\sin B}{\sin C} = 7 \cdot \dfrac{\sin 30}{\sin 10} \approx 20.2$