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It depends on what x is and what information you have. For example, if no side lengths are known, the Pythagorean theorem is not going to be any use!
You would use the Pythagorean Theorem when you are trying to determine the length of a side on a right triangle.ORYou might use the Pythagorean Theorem if you are carpenter or builder. A carpenter might use the Pythagorean Theorem to find the length of the hypotenuse (longest side of the triangle) or the length of the wall or roof. Use can use this methed or theorem in any building situation.
Architects use the Pythagorean theorem to check distances, heights, etc...that cant be measured
If you drive 9 miles north from your house, then turn and drive 12 miles east, you can use the Pythagorean theorem to calculate that you wind up 15 miles from home. You don't need a graph at all to do that. You just have to know the Pythagorean theorem.
To use the Pythagorean theorem you need to know at least two sides and the fact that the triangle is right angled, or al three sides. Even though you may not know the sides explicitly there must be indirect information to give you the sides - otherwise you cannot use Pythagoras.