4MA0 Higher January 2017 Paper 3 Q15
15
Diagram NOT accurately drawn
Calculate the perimeter of the triangle.
Give your answer correct to 1 decimal place.
(4)
| Scheme | Marks |
|---|---|
| (\(x^2 =\)) \(17^2 + 14^2 - 2 \times 17 \times 14 \times \cos(123^\circ)\) | M1 |
| E.g. (\(x^2 =\)) 744(.248......) or (\(x^2 =\)) \(17^2 + 14^2 - -259\)(.2… ) | M1 |
| (\(x =\))27.28..... | A1 |
| 58.3 | B1ft |
| (4) | |
| (4 marks) |
Notes
M1: for correct order of operations
A1: for missing side in range 27.2 – 27.3
B1ft: dep on M1 ft for “27.28” + 31
Alternative scheme
| Scheme | Marks |
|---|---|
| (height =) 14 × sin(180 – 123) (=11.7…) | M1 |
| 14 × cos(180 – 123) (=7.6…) | M1 |
| \(\sqrt{\text{“}11.7\text{”}^2 + \text{“}(17 + 7.6)\text{”}^2}\) (=27.28) | A1 |
| 58.3 | B1ft |
Notes
B1ft: dep on M1 ft for “27.28” + 31