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What is the length of the other leg ? express your answer as a square root

What is the length of the other leg ? express your answer as a square root-example-1

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Solution

Let y represent the length of the other leg


\begin{gathered} 32^2=y^2+18^2\text{ \lparen Pythagoras theorem\rparen} \\ 1024\text{ = y}^2\text{ + 324} \\ y^2=1024-324 \\ y^2=700 \\ y=√(700) \\ y=\sqrt{100\text{ x7}} \\ y=10√(7)\text{ m} \\ \end{gathered}

What is the length of the other leg ? express your answer as a square root-example-1
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