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At a Glance

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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No Right Angle Here

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

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A Sameness Surely

Triangle ABC has a right angle at C. ACRS and CBPQ are squares. ST and PU are perpendicular to AB produced. Show that ST + PU = AB

Triangles and Petals

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2
Sketch a diagram and write on all the angles you know, and work out any angles you can find. Once you know the angle at the centre of the sectors, you can work out the proportion of the circle's circumference for each petal.