Question

Find the hypotenuse of an isosceles right triangle when the legs each measure 3\sqrt{x} 2inches.

Answer 1

The hypotenuse of the right triangle measures 3 units.

How to find the hypotenuse?

Here we know that both legs measure:

$L =\frac{3}{\sqrt{2} }$

If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:

$H^2 = (\frac{3}{\sqrt{2} } )^2 + (\frac{3}{\sqrt{2} } )^2 \\\\H^2 = \frac{9}{2} + \frac{9}{2} = \frac{18}{2} = 9\\\\H = \sqrt{9} = 3$

Then we conclude that the hypotenuse of the right triangle measures 9 units.

If you want to learn more about right triangles:

brainly.com/question/2217700

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