Find the value of x in the triangle shown below.

Step-by-step explanation:

Use the Pythagorean theorem which states that in every right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. So, if in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relationship is true:

In this case, let:

Hence:

Solving for x:

Therefore, the value of x in the triangle is 8

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