1. The problem is to determine if a given triangle is a right triangle. 2. To check if a triangle is right-angled, we use the Pythagorean theorem: $$a^2 + b^2 = c^2$$ where $c$ is the longest side (hypotenuse). 3. Identify the lengths of the three sides of the triangle. 4. Square the lengths of the two shorter sides and add them. 5. Square the length of the longest side. 6. Compare the sum of the squares of the shorter sides to the square of the longest side. 7. If they are equal, the triangle is right-angled; otherwise, it is not. Since the side lengths are not provided, please provide the lengths to proceed with the check.