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A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the blue square.

Triangular Tantaliser

Age 11 to 14
Challenge Level

Here is an interactive environment that you could use with your students to record their findings:

You might need to show more than one triangle on each diagram. 

Here is a printable sheet you might like to use.