in one square, there are two triangles, so the ratio of triangles to sqaures is 2:1
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If an equilateral triangle and a square have equal perimeters, then the ratio of the area of the triangle to the area of the square is 1:3.
The answer depends on what ratio of the triangle you are interested in.
Divide the length of a side of one triangle by the length of the corresponding side of the other triangle.
pexagon
We have no problem fitting an equilateral triangle into a square. It depends on the size of the triangle and the size of the square whether one can be fit inside the other.