## Pythagoras theorem, demonstration – one of many

**Below is one of the many of Pythagoras Theorem proofs:**

**Below is one of the many of Pythagoras Theorem proofs:**

**Let’s consider, for this demonstration, two squares: one,** ; **the second** **, smaller than and inside the , as shown below.**

**The sides of the smaller square are making an angle, less than 90°, with the sides of the larger square.**

**The corners of the smaller square are on the sides of the larger square.**

**In between the two squares are four equal right triangles.**

**with b and c the right triangle’s legs and a its hypotenuse.**

**For proof of the above equality click ***here*.

*here*.

**From above drawing it can be seen that:**

**But:**

**therefore,** [1]** becomes:**

**This means that:**

(Pythagoras Theorem for the shown triangles) |

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