ΔABC में, DE || BC और \( {AD \ {} \over DB} = {4 \ {} \over 5}\) है, यदि DE = 12 cm है, BC की लंबाई ज्ञात कीजिए।

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 1)
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  1. 48 cm
  2. 12 cm
  3. 30 cm
  4. 27 cm

Answer (Detailed Solution Below)

Option 4 : 27 cm
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प्रयुक्त संकल्पना:

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दिए गए चित्र के अनुसार, ΔABC में, यदि DE ∥ BC है, तब AD/AB = DE/BC

गणना:

दी गई संकल्पना के अनुसार,

AD/AB = DE/BC

⇒ 4/(4 + 5) = 12/BC

⇒ BC = (9 × 12)/4

⇒ BC = 27

सही उत्तर 27 है

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