Geometry and TrigonometryHardCorresponding side of a similar triangle
Geometry and Trigonometry practice question
Triangle ABC is similar to triangle DEF, with AB corresponding to DE. If AB = 6, DE = 9, and BC = 4, what is the length of EF?
Answer: 6
The scale factor from ABC to DEF is 9/6 = 3/2, so EF = 4 × 3/2 = 6.
Common wrong answers
- If you answered 7
- 7 adds 3 to 4.
- If you answered 2.67
- 2.67 uses the scale factor 2/3, the wrong way round.
- If you answered 13.5
- 13.5 multiplies 9 by 3/2.
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