Question

One leg of a right triangle has length 7, and the triangle's hypotenuse has length 9. What is the length of the other leg, expressed in radical form?

Answer 1

Length of the other leg, expressed in radical form is
`4√(2)`

Explanation:

We have Pythagoras theorem,

Hypotenuse² = Base² + Perpendicular²

Here we have

Hypotenuse = 9

Base = 7

Substituting

9² = 7² + Perpendicular²

Perpendicular² = 81 - 49

Perpendicular² = 32

`\texttt{Perpendicular = }√(32)\\\\\texttt{Perpendicular = }√(16* 2)\\\\\texttt{Perpendicular = }4√(2)`

Length of the other leg, expressed in radical form is
`4√(2)`