All Tasks

Exploring the Pythagorean Theorem

Building Squares on the Sides of Right Triangles

Building Squares on the Sides of Acute and Obtuse Triangles

One Proof of the Pythagorean Theorem

Building Other Shapes on the Sides of Right Triangles

Polypads For This Exploration

Use this polypad with students if you don't want them to construct the first set of triangles. Click here to learn how to share Polypads with students and how to view their work.

PT Template - Polypad - Mathigon
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Further Reading

Pythagoras' Theorem - Triangles and Trigonometry - Mathigon
Reading time: ~25 min Reveal all steps We have now reached an important point in geometry - being able to state and understand one of the most famous theorems in all of mathematics: Pythagoras' Theorem. It is named after the ancient Greek mathematician Pythagoras of Samos.