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Age 14 to 16

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These printable worksheets could be useful: *Method 2, Method 3, Method 4*.

Can you add the appropriate explanations by each diagram in order to complete the proofs?

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

Six circular discs are packed in different-shaped boxes so that the discs touch their neighbours and the sides of the box. Can you put the boxes in order according to the areas of their bases?

ABC and DEF are equilateral triangles of side 3 and 4 respectively. Construct an equilateral triangle whose area is the sum of the area of ABC and DEF.