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Answer:

85

Step-by-step explanation:

13 x 13 = 169

84 x 84 = 7056

7056 + 169 = 7225

The square root of 7225 is 85 so that's your answer.

To have a Pythagorean triple, the value of x must be x = 85.

What is a Pythagorean triple?

A Pythagorean triple is a set of 3 numbers that meet the Pythagorean theorem, for a triple (x, y, z) we must have:

x^2 + y^2 = z^2

Then, for our set (13, 84, x), we must have that:

13^2 + 84^2 = x^2

Solving for x, we get:

√(13^2 + 84^2) = x = 85

So, to have a Pythagorean triple, the value of x must be x = 85.

If you want to learn more about the Pythagorean theorem, you can read:

https://brainly.com/question/654982

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