For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form.

Step-by-step explanation:

For this exercise you need to apply the Pythagorean Theorem. This is:

Where "h" is the hypotenuse of the Right triangle and "l" and "m" are the legs.

In this case, you can identify that:

Knowing these values, you can substitute them into  :

Now you must solve for "c":

Evaluating, you get:

To simplify the result:

- Descompose 32 into its prime factors:

- By the Product of powers property, you know that:

- Make the substitution:

- Finally, knowing that , you get:

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step-by-step explanation:

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