Foundation June 2018 Paper 1 Q18
18. The diagram shows a triangle, PQR, with height PS.
Diagram not drawn to scale
(a) Work out the area of triangle PQR. [2]
(b) PS is the shortest possible distance from P to QR.
Explain why this is correct. [1]
Explain why this is correct. [1]
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{8 \times 21}{2}\) or equivalent | M1 | |
| 84 (cm\(^2\)) | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| Valid explanation including ‘perpendicular’ or equivalent e.g. ‘It is the perpendicular distance.’ or ‘Because the height makes a right angle with the base.’ | E1 | Allow e.g. ‘Because it is at a right angle’ or ‘It’s a perpendicular angle that splits directly through the middle.’ or ‘It is the height of the triangle’ Do not allow ‘Because it goes straight down not diagonally which would be longer’ or ‘Because it is a vertical line not a sloping one’ |
| (3) |