Splitting a square
Geometry
Level
3
This is a square.
What is the minimum number of straight lines you have to draw within it to split it into an odd number of similar triangles?
6
7
5
3
2
It can't be done
4
1
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1 solution
Draw one main diagonal, and then half of the other main diagonal (from a vertex to the center of the square).
You now have three isosceles right triangles.