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प्रश्न
If ΔАВC ~ ΔDEF such that 2AB = DE and BC = 6 cm, find EF.
बेरीज
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उत्तर
Given:
ΔABC ~ ΔDEF
2AB = DE
BC = 6 cm
Step-wise calculation:
1. From 2AB = DE, `(DE)/(AB) = 2`, so the linear scale factor from ΔABC to ΔDEF is 2.
2. For similar triangles corresponding sides are proportional, so `(AB)/(DE) = (BC)/(EF)`.
Hence, `(EF)/(BC) = (DE)/(AB)`.
3. Therefore, `EF = ((DE)/(AB)) xx BC`
= 2 × 6 cm
= 12 cm
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