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Find the length of the missing side marked by x .

Find the length of the missing side marked by x .-example-1

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SOLUTION:

We are to find the length of the missing side marked by x;

We make use of Pythagoras theorem,


\begin{gathered} \text{Hypotenuse}^2=Opposite^2+Adjacent^2 \\ 14^2=9^2+x^2 \end{gathered}
\begin{gathered} 196=81+x^2 \\ 196-81=x^2 \\ 115=x^2 \\ or \\ x^2\text{ = 115} \\ x\text{ = }\sqrt[]{115} \\ x\text{ = 10.7238} \\ x\text{ = 10.72 ( 2 decimal places)} \end{gathered}

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