How to transform a triangle to a square
Geometry
Level
3
A square of side length 3 can be cut into several pieces and rearranged into an equilaterial triangle. What is the side length of a triangle?
The answer is 4.56.
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1 solution
We know the square is formed by the pieces from a triangle, so they share the same area, which is 9. We know that the area of the equilateral triangle is 4 a 2 3 so this implies that 9 = 4 a 2 3 Solving, we arrive that a is approximately about 4.56 and we are done.