Right-angled Triangles, SM-Bank 017 Use Pythagoras' Theorem to decide if the numbers \(1.4, 4.8\) and \(5.2\) form a Pythagorean triad. (2 marks) --- 4 WORK AREA LINES (style=lined) --- Show Answers Only \(\text{See worked solution}\) \(1.4,\ 4.8\ \text{and }5.2\ \text{do not form a Pythagorean triad.}\) Show Worked Solution \(\text{Let }a=1.4 ,\ b=4.8\ \text{and }c=5.2\) \(\text{Pythagoras’ Theorem states: }a^2+b^2=c^2\) \(\text{LHS: }\rightarrow\ \) \(a^2+b^2\) \(=1.4^2+4.8^2\) \(=1.96+23.04\) \(=25\) \(=5^2\ne\text{RHS}\) \(\therefore\ 1.4,\ 4.8\ \text{and }5.2\ \text{do not form a Pythagorean triad.}\)