The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle (the side opposite the right angle) when you are given the two legs of the triangle (the other two sides). It becomes very important and crucial to math in trigonometry and later levels of math.
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The Pythagorean theorem is a2 + b2 = c2
the standard form of the Pythagorean Theorem is :a2 + b2 = c2
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.
The Pythagorean theorem gets its name from the ancient Greek mathematician Pythagoras. He was one of the first to offer proof of the theorem.
You take the information you're given, make sure you understand the question, write down the Pythagorean Theorem, then look at it to discover how it connects the information you have to the information you need to find.