Foundation November 2017 Paper 2 Q19
19 The angles in a triangle are in the ratio 1 : 2 : 3.
(a) Show that the triangle is a right-angled triangle. [2]
(b) The hypotenuse of the triangle is 15 cm long.
Calculate the length of the shortest side in the triangle. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 180 \(\div\) (1 + 2 + 3) \(\times\) 3 [= 90] | 2 | M1 for 180 \(\div\) (1 + 2 + 3) If 0 scored, SC1 for angles 30, 60, 90 | Condone 6 for 1 + 2 + 3 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 7.5 | 4 | B1 for sin 30° or cos 60° = \(\frac{1}{2}\) soi M2 for 15 sin 30 oe or M1 for \(x/15\) = sin 30 oe | |