Geometry and TrigonometryVery hardLongest side of a similar triangle from its perimeter
Geometry and Trigonometry practice question
A triangle has sides of length 3, 4, and 5. A similar triangle has a perimeter of 60. What is the length of the longest side of the similar triangle?
Answer: 25
The scale factor is 60/12 = 5, so the longest side is 5 × 5 = 25.
Common wrong answers
- If you answered 15
- 15 scales the shortest side.
- If you answered 20
- 20 scales the middle side.
- If you answered 48
- 48 subtracts 12 from 60.
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