Geometry and TrigonometryHardLongest side of a similar triangle
Geometry and Trigonometry practice question
Two triangles are similar. The smaller has sides of length 6, 8, and 10. The shortest side of the larger triangle has length 9. What is the length of the longest side of the larger triangle?
Answer: 15
The scale factor is 9/6 = 1.5, so the longest side is 10 × 1.5 = 15.
Common wrong answers
- If you answered 11
- 11 comes from a scale factor of 1.1.
- If you answered 12
- 12 scales the middle side.
- If you answered 13
- 13 adds 3 to 10, treating the change as additive.
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