K. 422. Two squares of sides \(\displaystyle a\) and \(\displaystyle b\) are placed next to each other and then cut into five plane figures altogether with two line segments of length \(\displaystyle c\), as shown in the figure. Show that it is possible to build, without gaps or overlaps, a square of side \(\displaystyle c\) out of the five pieces.
This problem is for grade 9 students only.
Deadline expired on 10 October 2014.