# FInd the side lengths for an acute triangle

Geometry Level 3

The side lengths of a triangle are $$n$$, $$n+1$$ and $$n+2$$, where $$n$$ is an integer. What is the smallest value of $$n$$ such that the triangle is acute?

Details and assumptions

A triangle is acute if all of its angle are strictly less than $$90^\circ$$.

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