What is the relationship of the sides in this triangle based on the Pythagorean theorem
m^2+n^2
The relationship of the sides in a right triangle, as described by the Pythagorean theorem, states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In mathematical notation, this can be written as:
hypotenuse^2 = leg1^2 + leg2^2.
Therefore, in your triangle, the relationship of the sides is defined by the equation m^2 + n^2 = hypotenuse^2.