Counting the Triangles

 

Solution

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There are seven groups of triangles shown in the diagrams above. Each group consists of exactly five triangles with every triangle rotated 72 degrees around the center of the pentagon; one triangle from every group is highlighted in the respective diagram. So the total number of the triangles in the pentagon is 7x5=35.

 
Last Updated: January 21, 2008   |   Posted: June 23, 2001
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