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?

Question

asked Nov 6, 2021 216k views

1 Answer

Tatia · Answer 1 · 2021-11-10T16:23:28+0000

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