# Math

What is the number of different squares which can be inscribed in a given equilateral triangle?

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1. Saw this when you posted before, looks incomplete
My first reaction is to say, "an infinite number of them" since you state no conditions for your square.

e.g. Do the vertices of the square have to land on the sides of the rectangle?
IF so, then there would be 3, where each of the sides could hold the side of the square.
But since the triangle is equilateral, those 3 squares would all be identical.
So unless you worry about labeling them, there is only one distinct square possible

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