Right-angled Triangles, SM-Bank 018 Use Pythagoras' Theorem to decide if the numbers \(7, 8\) and \(11\) form a Pythagorean triad. (2 marks) --- 4 WORK AREA LINES (style=lined) --- Show Answers Only \(\text{See worked solution}\) \(7,\ 8\ \text{and }11\ \text{do not form a Pythagorean triad.}\) Show Worked Solution \(\text{Let }a=7 ,\ b=8\ \text{and }c=11\) \(\text{Pythagoras’ Theorem states: }a^2+b^2=c^2\) \(\text{LHS: }\rightarrow\ \) \(a^2+b^2\) \(=7^2+8^2\) \(=49+64\) \(=113\) \(\ne 11^2\) \(\therefore\ \ \) \(\ne\text{RHS}\) \(\therefore\ 7,\ 8\ \text{and }11\ \text{do not form a Pythagorean triad.}\)