एक त्रिभुज की तीन भुजाओं की लम्बाई (सेमी में) क्रमशः 48, 55 और 73 है। सबसे लम्बी भुजा के मध्य-बिंदु को उसके सम्मुख शीर्ष से मिलाने वाली माध्यिका की लम्बाई (सेमी में) कितनी है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
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  1. 27.5
  2. 73
  3. 24
  4. 36.5

Answer (Detailed Solution Below)

Option 4 : 36.5
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दिया गया है:

एक त्रिभुज की तीन भुजाओं की लम्बाई (सेमी में) क्रमशः 48, 55 और 73 हैं।

प्रयुक्त अवधारणा:

एक समकोण त्रिभुज की माध्यिका = H/2

यहाँ,

= कर्ण

गणना:

482 + 55

⇒ 2304 + 3025

⇒ 5329

⇒ 732

इसलिए, त्रिभुज एक समकोण त्रिभुज है

इसलिए, माध्यिका = h/2 = 73/2

⇒ 36.5

∴ अभीष्ट उत्तर 36.5 सेमी है।

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