## Problem of the Day #412: Acute Triangulation
*December 26, 2012*

*Posted by Saketh in : potd , trackback*

Peter is creating a painting for his art class. He starts by painting a number of non-overlapping acute triangles, and he observes that their union is a square. Further, he observes that any two triangles that meet do so either at a shared vertex, or at a shared side. What is the least number of triangles he could have painted?

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