Mathematics Education for Everybody

Exploring from Pythagoras’ Theorem

Return to Pythagoras’ Theorem menu. Starting with Pythagoras’ Theorem, \(a^2+b^2=c^2\), there are a lot of things to explore. Here are just three things you might like to explore.

Polygons on right-angled triangles

Have a look at what happens when you put regular polygons on the sides of a right angled triangle. You can move each of the red dots to change the triangle. You can also pan and zoom. The version with squares on each side is called Pythagoras’ Theorem, and there are some tools to explore […]

Pythagoras’ Theorem

Form a hypothesis The Theorem and its proof Exploring from Pythagoras’ Theorem

Angles in a triangle

The angles in a triangle add up to 180°. This means that if we measure the size of the angle at each vertex and add them together we always get 180°. 180° is a straight angle. We can use this fact to help us see, and to prove, that the angles add up to 180°. […]