# Tipping point

A right prism that has an equilateral triangular base with length $$a=50cm$$ is placed in a horizontal slit between two tables, so that one of the side faces is vertical. How small can the width $$d$$ of the slit be made in $$meters$$ before the prism falls out of the slit.

There is no friction between the prism and the tables and the prism is made of a homogeneous material.

The edges of the slit are parallel

This was a past IPHO problem.

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