Right-angled Triangles, SM-Bank 013 Use Pythagoras' Theorem to decide if the numbers \(5 , 12\) and \(13\) form a Pythagorean triad. (2 marks) Show Answers Only \(\text{See worked solution}\) Show Worked Solution \(\text{Let }a=5 ,\ b=12\ \text{and }c=13\) \(\text{Pythagoras’ Theorem states: }a^2+b^2=c^2\) \(\text{LHS: }\longrightarrow\ \) \(a^2+b^2\) \(=5^2+12^2\) \(=25+144\) \(=169\) \(=13^2=\text{RHS}\) \(\therefore\ 5,\ 12\ \text{and }13\ \text{form a Pythagorean triad.}\)