O-LevelMathematicsGeometry4024/11 · Oct/Nov 2022 · Q154 Marks
15 Triangle ABC is mathematically similar to triangle DEC. AB = 12 cm, BC = 27 cm, CD = 7 cm and DE = 3 cm. [Figure showing triangles ABC and DEC, with C as a common vertex and corresponding angles indicated]
- (a)Calculate AC.[2]
- (b)Given that the area of triangle ABC is 160 cm², calculate the area of triangle DEC.[2]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- [2] 28
- M1 for AC/7 = 12/3 oe
- [2] 10 cao
- B1 for (3/12)² or (1/4)² soi
- or M1 for (3/12)² × 160 oe
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