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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?
No Right Angle Here
Prove that the internal angle bisectors of a triangle will never be perpendicular to each other.
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
Stage: 2, 3 and 4 Challenge Level: 
Here are two ideas for designs based on squares which you might
like to create.
A very elegant solution could invovle "nested" REPEATS, that is the REPEAT you use to draw the square inside a REPEAT to draw several squares.
How about other designs based on squares that use "nested" REPEATs.
A very elegant solution could invovle "nested" REPEATS, that is the REPEAT you use to draw the square inside a REPEAT to draw several squares.
How about other designs based on squares that use "nested" REPEATs.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.