4: Pythagorean Theorem [10 marks Recall Pythagoras's Theorem: Pythagoras: In a right angle triangle, the square of the hypotenuse is equal to the sum of the squares of the two other sides. If a, b and c are the lengths of the sides in a right angle triangle, with c being the hypotenuse (see diagram below), then c2 = a2 + b2. 90 c2 = a2 + b2 It is easy to check if three integer lengths (of a right angle triangle) satisfy this relationship. When the lengths are not integers though, we cannot just ask if cb, because the numbers are no longer exact and checking if two approximate real numbers are equal to each other is difficult. Instead of checking for an exact equality, we