## Description

Why do we use the Pythagorean theorem?

Mathematics helps us better understand the world around us. The Pythagorean theorem is a formula from mathematics, an important principle in geometry that deals with right-angled triangles. The theorem looks like this: 𝑎2+𝑏2=𝑐2*a*2+*b*2=*c*2

The letters 𝑎*a*, 𝑏*b*, and 𝑐*c* each represent one side of a triangle. In other words, they represent the lengths of the sides of the three squares that intersect each other on the exhibit board. The theorem states that the area of square 𝑎*a* plus the area of square 𝑏*b* together are exactly equal to the area of square 𝑐*c*. This means that if you know the length of side 𝑎*a* and the length of side 𝑏*b*, you can calculate the length of side 𝑐*c*. By rotating the disk, you can see how the content of two smaller compartments together fits exactly into a larger compartment.

The Pythagorean theorem is important everywhere angles play a role. So, in making toys (blocks) and in architecture (constructing structures). But also in surveying land for planning roads, in making machines, in calculating fast routes for transportation: everywhere, the Pythagorean theorem is used for calculating distances.

**How does the Pythagorean theorem work?**

- Rotate the disc until the large square is completely filled.
- Then, turn the disc and fill the smaller squares. What do you notice?