The area of a regular pentagon looks about twice as a big as the pentangle star drawn within it. Is it?
Explore the geometry of these dart and kite shapes!
Prove that the internal angle bisectors of a triangle will never be perpendicular to each other.
The picture below shows three squares. Surprisingly, $c = a + b$. Can you prove it? Once you've had a chance to think about how to prove it, click to reveal the diagram below. Can you use the diagram to help you construct a proof?