Question

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

Answer 1

Solution

Let y represent the length of the other leg

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