What is the relationship of the sides in this triangle based on the Pythagorean Theorem?
According to the Pythagorean Theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
So, in any right triangle, if a and b are the lengths of the two legs (the sides adjacent to the right angle) and c is the length of the hypotenuse, the relationship can be represented by the equation:
a^2 + b^2 = c^2
This equation implies that the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.