I got this challenging geometrical conundrum from a Russian geometrical magazine. It states:
(A. Soifer) Use six lines to cut a triangle into parts such that it is possible to compose seven congruent triangles from them.
In other words, given an arbitrary triangle, how can you use six straight cuts to dissect the triangle into some number of pieces, such that the pieces can be combined to form seven congruent triangles?
The solution must work for any given triangle. And, the six cuts must be made all at once (i.e. You can't make one cut, move the pieces around, then make another cut), though I wouldn't mind if anyone shared a solution with this methodology.
I found this problem extremely fun and rewarding to crack. Hope you guys enjoy it too!