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The area of a regular pentagon looks about twice as a big as the pentangle star drawn within it. Is it?

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Explore the geometry of these dart and kite shapes!

No Right Angle Here

Prove that the internal angle bisectors of a triangle will never be perpendicular to each other.

Pegboard Quads

Age 14 to 16
Challenge Level
If you need hints for this, look at the three problems in Stage Three this month. This problem builds on that.