Henry Ernest Dudeney/Puzzles and Curious Problems/186 - Triangle and Square/Solution

by : $186$

 * Triangle and Square

Solution
Cut one triangle in half, and place the pieces together as in Figure $1$.


 * Dudeney-Puzzles-and-Curious-Problems-186-solution.png

Now cut along the dotted lines, making $ab$ and $cd$ each equal to the side of the square we are making.

Then fit together the pieces as in Figure $2$, sliding the pieces $F$ and $C$ upwards to the left, bringing down $D$ to fill that gap in the corner.