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melisa1 [442]
3 years ago
12

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

Mathematics
1 answer:
aniked [119]3 years ago
7 0

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

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