Higher June 2024 Paper 2 Q3
3.
Diagram not drawn to scale
ABC and BCD are right-angled triangles.
AB = 5·4 cm, AC = 7·2 cm and CD = 4·9 cm.
Calculate the area of triangle BCD. [5]
| Scheme | Marks | Comments |
|---|---|---|
| \((BC^2 =)\ 7.2^2 + 5.4^2\) or \((BC^2 =)\ 81\) | M1 | Allow equivalent methods May be shown in further working. |
| \((BC =)\ \sqrt{7.2^2 + 5.4^2}\) or \(\sqrt{81}\) | A1 | |
| \((BC =)\ 9\) (cm) | A1 | FT from M1 for the correctly evaluated square root of ‘their 81’ provided their answer > 7·2. |
| (Area =) \(\dfrac{4.9\times9}{2}\) | m1 | FT ‘their 9’ |
| = 22.05 (cm2) | A1 | FT. Accept 22 or 22.1 from correct working. |
| (5) |