ΔABC में, D, BC का मध्य-बिंदु है और G केन्द्रक है। यदि GD = 10 सेमी है, तो AD की लंबाई ________ है।

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 2)
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  1. 20 सेमी
  2. 30 सेमी
  3. 15 सेमी
  4. 10 सेमी

Answer (Detailed Solution Below)

Option 2 : 30 सेमी
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दिया गया है:

GD = 10 सेमी

प्रयुक्त अवधारणा:

केन्द्रक, माध्यिका AD को 2 : 1 के अनुपात में विभाजित करता है

गणना:

चूँकि G त्रिभुज का केन्द्रक है:

AD = 3 × 10 = 30 सेमी

AD की लंबाई 30 सेमी है।

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