Pythagorean Triples

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High School Math based on the topics required for the Regents Exam conducted by NYSED.

What is a Pythagorean Triple?
A Pythagorean Triple is any group of 3 integer values that satisfies the equation a2 + b2 = c2. Any triangle that has sides that form a Pythagorean Triple must be a right triangle.

Pythagorean Triples
Pythagorean triples
A Pythagorean triple consists of three natural numbers x, and z satisfying x2+y2=z2 . By Pythagoras' theorem, this means these three numbers are the sides of a right triangle. Euclid knew how to solve this equation, and the solution involves three expressions which form also the basis of chromogeometry.

Pythagorean Triples
Pythagorean Relationships
Pythagorean Theorem formula, Pythagorean triples and Pythagorean inequalities.
In this video, we'll learn how to use Pythagorean inequalities (inequalities derived from the Pythagorean theorem) to say whether or not the triangle with the given side lengths is a right triangle, and acute triangle, or an obtuse triangle.

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