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15 votes
15 votes
If A = 50 degrees, B = 62degrees, and a = 4, find c.

User Nikhil Rupanawar
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1 Answer

17 votes
17 votes

ANSWER


c\approx4.8

Step-by-step explanation

To answer this question, we have to first find the measure of the third angle,

The sum of angles in a triangle is 180 degrees, which means that:


\begin{gathered} Now, we <strong>apply the sine rule</strong>:[tex](\sin A)/(a)=(\sin C)/(c)

This means that:


\begin{gathered} (\sin50)/(4)=(\sin 68)/(c) \\ \Rightarrow c=(4\cdot\sin 68)/(\sin 50) \\ c\approx4.8 \end{gathered}

That is the value of c to the nearest tenth.

User Ben Doerr
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