Geometry and TrigonometryMediumSide length from a ratio of areas
Geometry and Trigonometry practice question
Two similar triangles have areas of 9 and 36. A side of the smaller triangle has length 4. What is the length of the corresponding side of the larger triangle?
Answer: 8
The areas are in the ratio 1 to 4, so the sides are in the ratio 1 to 2, and 4 × 2 = 8.
Common wrong answers
- If you answered 6
- 6 uses a ratio of 1.5.
- If you answered 12
- 12 adds 8 to 4.
- If you answered 16
- 16 uses the area ratio 4 for the sides.
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