<    1      2      3      4      5      6    >

---

Pythagorean theorem

The Pythagorean theorem applies to every right-angled triangle

 

---

Explanation

The picture shows 3 identical rectangular triangles, ∆ ABC, ∆ CBD and ∆ ACD.

The proportions of the sides are

and

so that

Because AD + BD = AB, the Pythagorean theorem follows directly from this

a² + b² = c²

 

---

Deutsch   Español   Français   Nederlands