Prove that a square cannot be dissected into an odd number of triangles of equal area.
Got to read about the question and its history in "Algebra and Tiling Homomorphisms in the Service of Geometry by Sherman Stein and Sándor Szabó
quite an interesting question, neither my doubt nor my homework, just want to see the various ideas that people here would come up with it.
edit: the proof i have seen involves higher mathematics which I have not yet completed in my college courses. Posting here mainly to see if anyone can come up with an idea that would be understood by me or a similar pre college student