Geometry and TrigonometryVery hardPerimeter of a similar right triangle
Geometry and Trigonometry practice question
Two right triangles are similar. The smaller has legs of length 6 and 8, and the larger has a hypotenuse of length 35. What is the perimeter of the larger triangle?
Answer: 84
The smaller triangle's hypotenuse is 10, so the scale factor is 3.5. Its perimeter 24 scales to 84.
Common wrong answers
- If you answered 24
- 24 is the perimeter of the smaller triangle.
- If you answered 49
- 49 adds 35 to the smaller legs 6 and 8.
- If you answered 70
- 70 doubles the hypotenuse.
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