A right triangle does not necessarily have equal sides. In a right triangle, one angle measures 90 degrees, and the other two angles are acute (less than 90 degrees). The sides of a right triangle can vary in length, but if a right triangle has equal sides, it specifically means it is an isosceles right triangle.
In an isosceles right triangle, the two legs (the sides that form the right angle) are equal in length; however, the hypotenuse (the side opposite the right angle) will be longer. The relationship between the legs and the hypotenuse in this case follows the principles of the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In summary, while a right triangle can have equal sides if it is an isosceles right triangle, not all right triangles have equal sides. They can have three different lengths for each side, as long as one of the angles remains 90 degrees.