Right-angled Triangles, SM-Bank 015 Use Pythagoras' Theorem to decide if the numbers \(1.1 ,\ 6\) and \(6.1\) form a Pythagorean triad. (2 marks) --- 4 WORK AREA LINES (style=lined) --- Show Answers Only \(\text{See worked solution}\) \(1.1,\ 6\ \text{and }6.1\ \text{form a Pythagorean triad.}\) Show Worked Solution \(\text{Let }a=1.1 ,\ b=6\ \text{and }c=6.1\) \(\text{Pythagoras’ Theorem states: }a^2+b^2=c^2\) \(\text{LHS: }\longrightarrow\ \) \(a^2+b^2\) \(=1.1^2+6^2\) \(=1.21+36\) \(=37.21\) \(=6.1^2=\text{RHS}\) \(\therefore\ 1.1,\ 6\ \text{and }6.1\ \text{form a Pythagorean triad.}\)