Pythagorean Triple

Pronunciation: /paɪˈθæɡəˌriən ˈtrɪpl̩/

Definitions of Pythagorean triple

noun A set of three positive integers a, b, and c, such that a^2 + b^2 = c^2, representing the sides of a right triangle

Example Sentences

A1 A Pythagorean triple consists of three positive integers that satisfy the Pythagorean theorem.

A2 In a Pythagorean triple, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

B1 Students in geometry class are learning how to identify Pythagorean triples in right triangles.

B2 The most famous Pythagorean triple is 3, 4, 5, where 3^2 + 4^2 = 5^2.

C1 Mathematicians study the properties and patterns of Pythagorean triples in relation to number theory.

C2 Exploring the concept of Pythagorean triples can lead to a deeper understanding of the Pythagorean theorem and its applications.

adjective Describing a set of three integers that satisfy the Pythagorean theorem

Example Sentences

A1 A Pythagorean triple is a set of three positive integers that satisfy the Pythagorean theorem.

A2 In a right triangle, the sides can form a Pythagorean triple if they satisfy a^2 + b^2 = c^2.

B1 Students in geometry class learned how to identify Pythagorean triples and apply them to solve problems.

B2 The concept of Pythagorean triples is often used in advanced mathematics to explore relationships between numbers.

C1 Mathematicians study the properties of Pythagorean triples in depth to understand their significance in number theory.

C2 Research in mathematics has led to the discovery of new Pythagorean triples with unique properties and patterns.

Examples of Pythagorean triple in a Sentence

formal A Pythagorean triple consists of three positive integers a, b, and c, such that a^2 + b^2 = c^2.

informal Hey, did you know that 3, 4, 5 is a Pythagorean triple?

slang Yo, check out this sick Pythagorean triple I just found: 5, 12, 13!

figurative In life, sometimes finding the right balance is like discovering a Pythagorean triple - everything just fits together perfectly.

Grammatical Forms of Pythagorean triple

• past tense: Pythagorean tripled
• plural: Pythagorean triples
• comparative: more Pythagorean triple
• superlative: most Pythagorean triple
• present tense: Pythagorean triple
• future tense: will be Pythagorean triple
• perfect tense: has been Pythagorean triple
• continuous tense: is being Pythagorean triple
• singular: Pythagorean triple
• positive degree: Pythagorean triple
• infinitive: to Pythagorean triple
• gerund: Pythagorean tripling
• participle: Pythagorean tripled

Origin and Evolution of Pythagorean triple

First Known Use: 1250 year

Language of Origin: Greek

Story behind the word: The term 'Pythagorean triple' originates from the ancient Greek mathematician Pythagoras, who is known for his contributions to geometry and the Pythagorean theorem.

Evolution of the word: Over time, the term 'Pythagorean triple' has come to refer specifically to a set of three positive integers a, b, and c that satisfy the Pythagorean theorem a^2 + b^2 = c^2, rather than just any set of three numbers.