Right-angled Triangles, SM-Bank 014 Use Pythagoras' Theorem to decide if the numbers \(12 , 35\) and \(37\) form a Pythagorean triad. (2 marks) Show Answers Only \(\text{See worked solution}\) \(12,\ 35\ \text{and }37\ \text{form a Pythagorean triad.}\) Show Worked Solution \(\text{Let }a=12 ,\ b=35\ \text{and }c=37\) \(\text{Pythagoras’ Theorem states: }a^2+b^2=c^2\) \(\text{LHS: }\longrightarrow\ \) \(a^2+b^2\) \(=12^2+35^2\) \(=144+1225\) \(=1369\) \(=37^2=\text{RHS}\) \(\therefore\ 12,\ 35\ \text{and }37\ \text{form a Pythagorean triad.}\)