जर काटकोन त्रिकोणाच्या तीन बाजू (k – 4)सेमी , k व  (k + 4)  या आहेत, तर k ची किंमत ____आहे.

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

Answer (Detailed Solution Below)

Option 4 : 16
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दिलेले:

काटकोन त्रिकोणाच्या तीन बाजू (k – 4), k व  (k + 4)  आहेत.

सूत्र:

आपल्याला माहीत आहे, 

पायथागोरसचे प्रमेय 

(कर्ण )2 = (लंब )2 + (पाया)2

पडताळा:
 
प्रश्नानुसार
 

(k + 4)2 = (k – 4)2 + k2

⇒ k2 + 16 + 8k = k2 + 16 – 8k + k2

⇒ k2 = 16k

⇒ k = 16

 

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