# Regular Polygons

Author: mathforces
Problem has been solved: 46 times

Русский язык | English Language

Let $SIX$ be an equilateral triangle, $MATH$ - be a square, and $SXAREM$ - be a regular hexagon in the same plane. If $MA=1$ and the product of all possible values of areas of $IHT$ can be represented as irreducible fraction $\frac{m}{n}$. What is the value of $m+n$?