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How Many Triangles?

Published online by Cambridge University Press:  03 November 2016

F. Gerrish
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Extract

A selection process used by some compilers of big-prize competitions is to present a triangle (usually equilateral) divided into (say) nine congruent sub triangles by the lines joining corresponding trisection points of the sides, and to ask how many triangles there are in the figure. It is amusing to obtain the general result when each side of the original triangle A is divided into n equal parts and pairs of dividing points are joined by parallels to the sides in all possible ways.

Type
Research Article
Information
The Mathematical Gazette , Volume 54 , Issue 389 , October 1970 , pp. 241 - 246
Copyright
Copyright © Mathematical Association 1970

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