# FInd the side lengths for an acute triangle

**Geometry**Level 4

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 \(90^\circ\).