Dissection of 2 Equal Squares and One Smaller Square into One Square

Problem

Dissect $2$ equal squares and one smaller square, and use the pieces to make $1$ large square.

Solution

Bisect the $2$ larger squares along their diagonals.

Arrange the right triangles so generated around the outside of the smaller square as shown.

Join the $4$ right angles of the $4$ right triangles.

The overlapping bits fit into the gaps.

$\blacksquare$

Sources

• 1992: David Wells: Curious and Interesting Puzzles ... (previous) ... (next): Abul Wafa ($\text {940}$ – $\text {998}$): $40$