Right-angled Triangles, SM-Bank 016 Use Pythagoras' Theorem to decide if the numbers \(36, 48\) and \(63\) form a Pythagorean triad. (2 marks) --- 4 WORK AREA LINES (style=lined) --- Show Answers Only \(\text{See worked solution}\) \(36,\ 48\ \text{and }63\ \text{do not form a Pythagorean triad.}\) Show Worked Solution \(\text{Let }a=36 ,\ b=48\ \text{and }c=63\) \(\text{Pythagoras’ Theorem states: }a^2+b^2=c^2\) \(\text{LHS: }\longrightarrow\ \) \(a^2+b^2\) \(=36^2+48^2\) \(=1296+2304\) \(=3600\) \(=60^2\ne\text{RHS}\) \(\therefore\ 36,\ 48\ \text{and }63\ \text{do not form a Pythagorean triad.}\)