Pythagorean triple

High school (ages 12+)
Mathematics & Numbers

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Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/pythagorean-triple

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the earliest evidence?Babylonian clay tablet Plimpton 322, circa 1800 BC
2. What is the primitive triple condition?GCD(a, b, c) = 1
3. Why is (3, 4, 5) special?(3, 4, 5) is the simplest example of a Pythagorean triple. It shows how the numbers fit the right‑triangle rule.
4. How can we make bigger Pythagorean triples from (3, 4, 5)?Multiply each number by the same whole number. For example, 2×(3, 4, 5) gives (6, 8, 10), which still satisfies a² + b² = c².

Diophantine equation: An equation where only integer solutions are sought, often leading to complex number theory problems.
Coprime: Two integers are coprime if their greatest common divisor is 1; they share no common prime factors.
Irrational number: A number that cannot be expressed as a simple fraction (p/q), like π or √2.