# Nasty Triangles 2

Geometry Level 3

The diagram above shows a triangle, there are $$n$$ points on every side of this triangle, between every 2 points (both points are on different sides) there is a line connecting them, these lines will split the triangle into portions and no three lines intersect at 1 point. The above diagram shows an example of $$n=1$$ which will split the triangle into 4 portions, if $$n=10$$, what is the total number of portions?

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