यदि एक समकोण त्रिभुज की तीन भुजाएं (k – 4) सेमी, k और (k + 4) हैं, तो k का मान क्या है?

  1. 8
  2. 4
  3. 12
  4. 16

Answer (Detailed Solution Below)

Option 4 : 16
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RRB NTPC CBT-I Official Paper (Held On: 4 Jan 2021 Shift 1)
100 Qs. 100 Marks 90 Mins

Detailed Solution

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दिया है:

एक समकोण त्रिभुज की तीन भुजाएं (k – 4) सेमी, k और (k + 4) हैं।

सूत्र:

जैसा कि हम जानते हैं,

पाइथागोरस प्रमेय

(कर्ण)2 = (लम्ब)2 + (आधार)2

गणना:

प्रश्न के अनुसार

(k + 4)2 = (k – 4)2 + k2

⇒ k2 + 16 + 8k = k2 + 16 – 8k + k2

⇒ k2 = 16k

⇒ k = 16

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