Geometry and TrigonometryEasyScaling a 5-12-13 triangle
Geometry and Trigonometry practice question
A right triangle has sides of length 5, 12, and 13. A similar triangle has its shortest side of length 15. What is the length of its longest side?
Answer: 39
The scale factor is 15 ÷ 5 = 3, so the longest side is 13 × 3 = 39.
Common wrong answers
- If you answered 13
- 13 is the original longest side.
- If you answered 23
- 23 adds 10 to 13 instead of scaling.
- If you answered 36
- 36 is the middle side, 12 × 3.
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