diff --git a/guide/english/mathematics/pythagorean-triples/index.md b/guide/english/mathematics/pythagorean-triples/index.md
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 ## Pythagorean Triples
 
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+A pythagorean triple is a set of three numbers, a, b, and c, that satisfies the equation `a^2 + b^2 = c^2`. When a triangle is made with side lengths equal to a, b, and c, it will be a right triangle.
 
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+The smallest pythagorean triple is 3,4,5. There is an infinite number of these pythagorean triples. They can be constructed using the following process:
 
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+When m and n are positive integers such that m is less than n:
 
+- a = `n^2 - m^2`
+- b = `2nm`
+- c = `n^2 + m^2`
 
+Then a, b, and c will form a pythagorean triple. The formula above is known as Euclid's formula.
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