एक त्रिभुज की तीन भुजाओं की लंबाई 30 सेमी, 42 सेमी और x सेमी है। निम्न में से कौन-सा विकल्प सही है?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 2)
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  1. 12 ≤ x < 72
  2. 12 > x > 72
  3. 12 < x < 72
  4. 12 ≤ x ≤ 72

Answer (Detailed Solution Below)

Option 3 : 12 < x < 72
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Detailed Solution

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दिया गया है:

त्रिभुज की पहली भुजा = 30 सेमी

त्रिभुज की दूसरी भुजा = x सेमी

त्रिभुज की तीसरी भुजा = 42 सेमी

प्रयुक्त अवधारणा:

(तीसरी भुजा - पहली भुजा) < दूसरी भुजा < (तीसरी भुजा + पहली भुजा)

गणना:

दूसरी भुजा का परिसर = (42 - 30) < x < (42 + 30)

⇒ 12 < x < 72

∴ सही उत्तर विकल्प 3 है।

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