Foundation November 2023 Paper 2 Q26
26 A triangle has sides of length 6 cm, 10 cm and 12 cm.
Is this a right-angled triangle?
Show how you decide. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| No with either \(144 \ne 136\) or \(108 \ne 100\) or \(44 \ne 36\) | 4 | B3 for 136 and 144 OR M1 for \(10^2 + 6^2\) oe M1 for \(12^2\) or 144 Alternative Method 1: B3 for 108 and 100 OR M1 for \(12^2 - 6^2\) oe M1 for \(10^2\) or 100 Alternative Method 2: B3 for 44 and 36 OR M1 for \(12^2 - 10^2\) oe M1 for \(6^2\) or 36 | Do not accept scale drawing Other acceptable comparisons: \(\sqrt{136} \ne 12\) or \(12^2 \ne 136\) \(\sqrt{108} \ne 10\) or \(10^2 \ne 108\) \(\sqrt{44} \ne 6\) or \(6^2 \ne 44\) Note: \(10^2 + 6^2 \ne 12^2\) Max M1M1 |