No, congruent means that they have the same side and angle measures.
Although they may be similar.
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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).
triangles and pentagons
The majority of polygons would meet these requirements. Polygons with congruent sides are the exception rather than the other way around.
There are infinitely many. Calculate the square root of 250, and round it up. The square of this number will be the first one. The square of any larger integer will also be a perfect square larger than 250.
6 is an larger number if it is dealing with math.... other than that no numbers is larger than 10...