Pythagorean Equation from Squares - Length of Side (Integer)

This topic focuses on applying the Pythagorean theorem. It involves solving for the missing side of a right triangle, given the lengths of the other two sides, all of which must be integers. Each problem presents a different set of values and students are provided with a set of possible answers to select from. The fundamental skill practiced here is using the Pythagorean equation, \(a^2 + b^2 = c^2\), to deduce the value of one side when the lengths of the hypotenuse and one leg are known. The problems vary in their numerical arrangements, enhancing learners' ability to apply the theorem across diverse scenarios.