Problems:
Mathematical reasoning
The Pythagorean Theorem for right triangles states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a2 + b2 = c2.
Prove that if m is a real number and m, m + 1, and m + 2 are the lengths of the three sides of a right triangle, then m = 3.