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How Big?

If the sides of the triangle in the diagram are 3, 4 and 5, what is the area of the shaded square?

Triangular Tantaliser

Draw all the possible distinct triangles on a 4 x 4 dotty grid. Convince me that you have all possible triangles.

Guillotine

Weekly Problem 9 - 2006
What fraction of the area of the rectangle is shaded?

Hex

Age 11 to 14
Challenge Level

Hexagon.

Explain how the thirteen pieces making up the regular hexagon shown in the diagram can be re-assembled to form three smaller regular hexagons congruent to each other.

 

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