Inspired to share a problem
Geometry
Level
3
Is it possible to put an equilateral triangle onto a square grid so that all the vertices are on the corners of some square?
This problem is not original. I just got "inspired" to share this problem after seeing this problem.
Cannot be determined
No
Yes
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1 solution
The square of the distance between any 2 lattice points on a square grid is an integer. But the area of an equilateral triangle is 4 1 3 of the square of its side. Hence, it can't be done.