Henry Ernest Dudeney/Modern Puzzles/109 - Squaring a Star/Solution

by : $109$

 * Squaring a Star

Solution

 * Dudeney-Modern-Puzzles-109-solution.png

Find the side of the equal square by calculating the mean proportional between $AB$ and $BC$.

Make $BD$ equal to such.

Drop a perpendicular from $A$ to $BD$ at $E$, and $AE$ will equal $BD$.

The rest follows straightforwardly.