In geometry (mathematics), two similar triangles have areas in the ratio . What is the ratio of their corresponding perimeters?
Answer and explanation
Correct answer: C.
- Step 1: For similar geometric figures, the ratio of areas equals the square of the linear scale factor: . The linear scale factor for perimeters is . Therefore, the perimeter ratio is . **Answer: . Why not the others:** is the area ratio itself, and squares the ratio a second time.
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