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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?

Darts and Kites

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.


Age 14 to 16
Challenge Level

This printable worksheet may be useful: Terminology.

This problem requires students to know the properties of equilateral and isosceles triangles.