Pick's Theorem -- Page 14

Yes, this is the same result we got earlier by decomposing the figure as shown here.

So why is Pick's Theorem true? The best answer is "Magic". Pick's theorem is not true for any simple or obvious reason, unlike most high school geometry theorems. This theorem is a good example of what mathematicians do. Their goal is to discover hidden relationships between different ideas. And here the relationship is very hidden, and requires deep algebraic and geometric knowledge of the plane to prove.

Given this, are you interested in learning more about why Pick's theorem is true?

Picks theorem is related to Euler's Polyhedron formula Theorem. If you are not familiar whith that here is a good link plus.maths.org. You can also find some expositions on You Tube. To see how this is used go to CONTINUE

Otherwise I hope you learned something interesting. Goodbye.