If you multiply each side by an integer, the result will be another triple. This accounts for why 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.

Related triangle topics

General

• Triangle definition
• Hypotenuse
• Triangle interior angles
• Triangle exterior angles
• Pythagoras' Theorem
• A graphical proof of Pythagoras' Theorem
• Pythagorean triples
• Area of a triangle
• Triangle circumcircle
• Triangle incircle
• Triangle inequality
• Triangle medians
• Midsegment of a triangle
• Heron's formula

Triangle types

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

Triangle centers

• Incenter of a triangle
• Circumcenter of a triangle
• Centroid of a triangle
• Orthocenter of a triangle

Congruence and Similarity

• Congruent triangles

Triangle quizzes and exercises

• Triangle type quiz
• Ball Box problem
• How Many Triangles?
• Satellite Orbits