Triangleception Part IV

Probability Level 2

Count the number of Triangles in this figure:

This problem is a part of the set Triangleception


The answer is 20.

Arpit MIshra by Arpit MIshra , 21, India

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2 solutions

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Miki Moningkai
Jul 16, 2016

Lets count…

Assuming smallest side of a triangle is 1 cms.

Number of triangles with side 1 cms: 12(1 + 5 + 5 +1)

Number of triangles with side 2 cms: 6(1 + 2(triangles facing upward), 1+2(triangles facing downward))

Number of triangles with side 3 cms: 2(1 triangle facing upward and 1 facing downwards).

Thus, total number of triangles are 20.

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