by Serhiy Grabarchuk Jr
The Medal consists of one rhombus and one square. By moving only two matchsticks it is possible to get three triangles. The total area of the three triangles must be the largest possible.
At what original angle those two moved matchsticks are each to another?
The two matchsticks placed at an acute mutual angle have to be moved into the illustrated vertical line in order two right triangles and one acute triangle appear, resulting in the largest possible total area for the three obtained triangles.