যদি একটি সমকোণী ত্রিভুজের তিনটি বাহু (k – 4) সেমি, k এবং (k + 4) হয়, তবে k এর মান কত হবে? 

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

Answer (Detailed Solution Below)

Option 4 : 16
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Detailed Solution

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প্রদত্ত :

ত্রিভুজের তিনটি বাহু হ'ল (k – 4), k এবং (k + 4)।

সূত্র:

যেহেতু আমরা জানি,

পাইথাগোরাস উপপাদ্য

(অতিভুজ) 2 = (লম্ব) 2 + (ভূমি) 2

গণনা:

প্রশ্ন অনুযায়ী

(k + 4)2 = (k – 4)2 + k2

⇒ k2 + 16 + 8k = k2 + 16 – 8k + k2

⇒ k2 = 16k

⇒ k = 16

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