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What is the perimeter p of triangle ABC to the nearest whole number?

What is the perimeter p of triangle ABC to the nearest whole number?-example-1

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Find the missing angle of the triangle


\begin{gathered} A=180-40-49 \\ A=180-89 \\ A=91 \end{gathered}

apply the law of sines in order to find the missing sides


\begin{gathered} (26)/(\sin49)=(c)/(\sin 40) \\ b=26\cdot(\sin40)/(\sin49) \\ b\cong22.14 \end{gathered}


\begin{gathered} (26)/(\sin49)=(a)/(\sin 91) \\ a=26\cdot(\sin 91)/(\sin 49) \\ a\cong34.33 \end{gathered}

add the three sides to find the perimeter


\begin{gathered} P=26+34.33+22.14 \\ P=82.47\cong82 \end{gathered}

User Jpkotta
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