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A right triangle can have at most 2 congruent sides, but may have no congruent sides.

From the Pythagorean Theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides - consequently the "other two sides must each be less than the length of the hypotenuse and thus not congruent with it. They can be congruent with each other however - which is what occurs in a 45°/45°/90° triangle (for any other right triangle, none of the sides will be congruent).

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Q: Right triangle has how many congruent sides?
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