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Consider a triangle ABC like the one below. Suppose that A = 35°, C = 68°, b = 32. (The figure is not drawn to scale.) Solve the triangle. Round your answers to the nearest tenth.

Consider a triangle ABC like the one below Suppose that A 35 C 68 b 32 The figure is not drawn to scale Solve the triangle Round your answers to the nearest ten class=

Respuesta :

Solution.

Given the triangle

[tex]\begin{gathered}

Using sine rule,

[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex][tex]\begin{gathered} \frac{a}{sin35}=\frac{32}{sin77} \\ a=\frac{32\text{ x sin35}}{sin77} \\ a=18.84 \\ a=18.8(nearest\text{ tenth\rparen} \end{gathered}[/tex][tex]\begin{gathered} \frac{a}{sinA}=\frac{c}{sinC} \\ \frac{18.84}{sin35}=\frac{c}{sin68} \\ \end{gathered}[/tex][tex]\begin{gathered} c=\frac{18.84\text{ x sin68}}{sin35} \\ c=30.45 \\ c=30.5(nearest\text{ tenth\rparen} \end{gathered}[/tex]

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