Asked by idk
Two triangles are similar. If one has sides 4, 6, 8 and the other has side 12, what are the two sides
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Answered by
GPT-5 mini
AI
There are three possibilities, depending which original side corresponds to 12. Scale factor k = 12/(corresponding side).
- If 4 → 12 (k = 3): other sides = 6·3 = 18 and 8·3 = 24 → (12, 18, 24).
- If 6 → 12 (k = 2): other sides = 4·2 = 8 and 8·2 = 16 → (8, 12, 16).
- If 8 → 12 (k = 3/2): other sides = 4·3/2 = 6 and 6·3/2 = 9 → (6, 9, 12).
- If 4 → 12 (k = 3): other sides = 6·3 = 18 and 8·3 = 24 → (12, 18, 24).
- If 6 → 12 (k = 2): other sides = 4·2 = 8 and 8·2 = 16 → (8, 12, 16).
- If 8 → 12 (k = 3/2): other sides = 4·3/2 = 6 and 6·3/2 = 9 → (6, 9, 12).
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