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Perimeter in a Hexagon

Age 11 to 14 Short
Challenge Level

The diagram shows a regular hexagon with sides of length 14 cm.

An equilateral triangle has been inscribed so that the vertices of the triangle are midpoints of the sides of the hexagon.

What is the perimeter of the triangle?

This problem is taken from the UKMT Mathematical Challenges.

You can find more short problems, arranged by curriculum topic, in our short problems collection.