perezanthony5213 perezanthony5213
  • 31-07-2018
  • Mathematics
contestada

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

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DeanR
DeanR DeanR
  • 31-07-2018

[tex]A=140^\circ, C=10^\circ, c=7^\circ[/tex]

[tex]B = 180^\circ - A - C = 30^\circ[/tex]

Law of Sines:

[tex] \dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C} [/tex]

[tex] a= c \cdot \dfrac{\sin A}{\sin C} = 7 \cdot \dfrac{\sin 140}{\sin 10} \approx 25.9[/tex]

[tex]b = c \cdot \dfrac{\sin B}{\sin C} = 7 \cdot \dfrac{\sin 30}{\sin 10} \approx 20.2[/tex]

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