In the diagram, triangle ABC is similar to triangle XYZ. AB = 3cm, BC = 8cm, YZ = 12cm and ZX = 15cm. [Figure 13]
- (a)Calculate XY.[1]
- (b)Given that the area of triangle ABC is 10cm², calculate the area of triangle XYZ.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.
- [1] 4.5, or any equiv.
- [2] 22.5, or any equiv.
- M1 for 10 × (a/b)² , where a and b are corresponding sides, possibly cancelled down, with a > b.
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