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, expre

Question

3 years ago

5

ssed in radical form?

1 answer:

musickatia [10] · Answer 1 · 2022-08-16T01:21:41+03:00

<h2>Length of the other leg, expressed in radical form is $4\sqrt{2}$ </h2>

Step-by-step explanation:

We have Pythagoras theorem,

Hypotenuse² = Base² + Perpendicular²

Here we have

Hypotenuse = 9

Base = 7

Substituting

9² = 7² + Perpendicular²

Perpendicular² = 81 - 49

Perpendicular² = 32

$\texttt{Perpendicular = }\sqrt{32}\\\\\texttt{Perpendicular = }\sqrt{16\times 2}\\\\\texttt{Perpendicular = }4\sqrt{2}$

Length of the other leg, expressed in radical form is $4\sqrt{2}$