The answer is no. As we know, the Pythagorean theorem states the relation between sides of the right triangle: a^2+b^2=c^2 Let's imagine that we have equilateral right triangle. So all three sides of it are equal, let's denote them by x. So we have x^2+x^2=x^2 or 2x^2=x^2 this equation holds only for x=0. Therefore there cannot be equilateral right triangle.
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