Printable version
Lesson 9-4 - Geometry's Most Elegant Theorem
Today, we covered the most famous of geometric theorems:
![The Pythagorean Theorem](PythagoreanTheorem.gif)
With the Altitude-on-Hypotenuse Theorem, the proof is pretty straight forward:
![One proof of the Pythagorean Theorem](PythagoreanTheoremProof.gif)
The converse is also true, and is useful in terms of classifying triangles:
![Converse of the Pythagorean Theorem](PythagoreanTheoremConverse.gif)
Here's an example of how we might use this theorem:
![Example using the Pythagorean Theorem to classify a triangle](PythagoreanExample1.gif)
Another example follows:
![Another example using the Pythagorean Theorem](Example-2.gif)
|