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Showing content from http://mathworld.wolfram.com/PythagoreanTriangle.html below:

Pythagorean Triangle -- from Wolfram MathWorld

• Geometry
• Plane Geometry
• Triangles
• Triangle Properties

• Number Theory
• Diophantine Equations

A Pythagorean triangle is a right triangle with integer side lengths (i.e., whose side lengths form a Pythagorean triple). A Pythagorean triangle with is known as a primitive right triangle.

The inradius of a Pythagorean triangle is always a whole number since

The area of such a triangle is also a whole number since for primitive Pythagorean triples, one of or must be even, and for imprimitive triples, both and are even, so

is always a positive integer.

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Weisstein, Eric W. "Pythagorean Triangle." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PythagoreanTriangle.html

• Geometry
• Plane Geometry
• Triangles
• Triangle Properties

• Number Theory
• Diophantine Equations

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