A right triangle where the sides are in the ratio of integers. (Integers are whole numbers like 3, 12 etc) |

For example, the following are pythagorean triples:

If you multiply each side by an integer, the result will be another triple, demonstrating that there is an infinite number of them. Remember: it is the ratio of the lengths of the sides that counts, not the actual length. The units of measurement are thus irrelevant.

The smallest and perhaps best known triple, the 3:4:5 is explored in greater depth 3-4-5 Triangles.

- Triangle definition
- Hypotenuse
- Triangle interior angles
- Triangle exterior angles
- Triangle exterior angle theorem
- Pythagorean Theorem
- Proof of the Pythagorean Theorem
- Pythagorean triples
- Triangle circumcircle
- Triangle incircle
- Triangle medians
- Triangle altitudes
- Midsegment of a triangle
- Triangle inequality
- Side / angle relationship

- Perimeter of a triangle
- Area of a triangle
- Heron's formula
- Area of an equilateral triangle
- Area by the "side angle side" method
- Area of a triangle with fixed perimeter

- Right triangle
- Isosceles triangle
- Scalene triangle
- Equilateral triangle
- Equiangular triangle
- Obtuse triangle
- Acute triangle
- 3-4-5 triangle
- 30-60-90 triangle
- 45-45-90 triangle

- Incenter of a triangle
- Circumcenter of a triangle
- Centroid of a triangle
- Orthocenter of a triangle
- Euler line

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