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Pythagorean Theorem -- from Wolfram MathWorld
For a right triangle with legs a and b and hypotenuse c, a^2+b^2=c^2. (1) Many different proofs exist for this most fundamental of all geometric theorems. The theorem ...

Pythagorean Triple -- from Wolfram MathWorld
A Pythagorean triple is a triple of positive integers a, b, and c such that a right triangle exists with legs a,b and hypotenuse c. By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying a^2+b^2=c^2. (1) The smallest and best-known Pythagorean triple is (a,b,c)=(3,4,5). The right triangle having these side lengths is sometimes called the 3, 4, 5 ...

Pythagoras Theorem - Math Is Fun
Pythagoras' Theorem. Pythagoras . Over 2000 years ago there was an amazing discovery about triangles: When a triangle has a right angle (90°) ..... and squares are made on each of the three sides, ...

Pythagorean Triples - Maths Resources
Example: The smallest Pythagorean Triple is 3, 4 and 5. Let's check it: 3 2 + 4 2 = 5 2. Calculating this becomes: 9 + 16 = 25. Yes, it is a Pythagorean Triple!

Pythagorean trigonometric identity - Wikipedia
The Pythagorean trigonometric identity is a trigonometric identity expressing the Pythagorean theorem in terms of trigonometric functions.Along with the sum-of-angles formulae, it is one of the basic relations between the sine and cosine functions.. The identity is given by the formula: ⁡ + ⁡ = for a right angle of triangles. And for all triangles the following list apply:

Pythagorean Theorem Activity by Idea Galaxy | Teachers Pay ...
This pack of three games helps student practice using the Pythagorean Theorem to finding a missing side of a triangle, identify if a triangle is a right triangle, and find the distance between to points.

IXL - Pythagorean Theorem (Geometry practice)
Improve your math knowledge with free questions in "Pythagorean Theorem" and thousands of other math skills.

IXL - Pythagorean Inequality Theorems (Geometry practice)
Improve your math knowledge with free questions in "Pythagorean Inequality Theorems" and thousands of other math skills.

Formulas for generating Pythagorean triples - Wikipedia
Besides Euclid's formula, many other formulas for generating Pythagorean triples have been developed.

Pythagorean Tuning - Basic concepts - Medieval
Pythagorean Tuning 2. Basic concepts. As mentioned above, Pythagorean tuning defines all notes and intervals of a scale from a series of pure fifths with a ratio of 3:2.Thus it is not only a mathematically elegant system, but also one of the easiest to tune by ear. To derive a complete chromatic scale of the kind common on keyboards by around 1300, we take a series of 11 perfect fifths:

 

 

 

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