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Illustration of Pythagorean Theorem

Pythagorean Theorem

A fundamental principle in geometry stating that in a right-angled triangle

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Reads at Pre-K Listens at Pre-K–1

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The story

The Secret of the Perfect Corner

Hello. Do you like to play with shapes? I do. My favorite is a special kind of triangle. It has one perfect corner, just like the corner of a building block or a picture book. It feels very neat and tidy. This triangle has two sides that stand up straight and tall, and one long, slidey side. It's so fun to trace with your finger. I am a secret rule that connects all three sides together like a family. My secret helps them always fit just right. It is a very happy secret about how shapes work together to make something strong and beautiful.

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About

A fundamental principle in geometry stating that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (a² + b² = c²).

Practical application by ancient Egyptians 2560 BCE
Early documented knowledge 1800 BCE
Life of Pythagoras of Samos 570 BCE - 494 BCE (circa)
Formal proof by the Pythagoreans 500 BCE

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What is the secret's favorite shape?

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Pythagorean Theorem
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