Pythagorean Equation from Variables - Length of Side (Integer)

This topic covers the practical application of the Pythagorean theorem to solve for missing sides in right triangles, where all lengths are integers. Specifically, students are required to calculate missing side lengths labeled 'a' or 'b' in given equations of the form \(a^2 + b^2 = c^2\). Each problem provides two parts of the triangle (one side and the hypotenuse), and the challenge is to solve for the other side. The problems are structured to enhance foundational knowledge in Pythagorean calculations and improve students' problem-solving skills within this mathematical area.