Nope. The equation for finding the length of a square's (or right triangle's) diagonal is a^2 + b^2 = c^2. For instance, if a right triangle had one leg (a) with the length of 3, and another leg (b) with the length of 4, the diagonal would have a length of 5.
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
5 = c
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Well, squares do have equal sides but rectangles have two pairs of equal sides
squares
squares are rectangles because they are both four sided but rectangles are not squares because a rectangle doesn't have equal sides and squares have equal sides
Squares have four equal sides and equal angles, rectangles only have two.
No shape is a square but not a parallelogram as all squares are parallelograms: All parallelograms have opposite sides parallel and of equal length, and opposite angles are equal. All squares have opposite sides that are parallel and of equal length, and opposite angles are equal; thus all squares are parallelograms. However, all squares also have all angles equal to 90o and all four sides equal, but some parallelograms have angles not all 90o and/or not all four sides of equal length; thus not all parallelograms are squares.