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PQRS সামন্তরিকক্ষেত্রটির, বাহুদ্বয়ের দৈর্ঘ্য 8 সেন্টিমিটার এবং 12 সেন্টিমিটার, যার একটি কর্ণের দৈর্ঘ্য 10 সেন্টিমিটার। অপর কর্ণটির আনুমানিক দৈর্ঘ্য নির্ণয় করুন। 

This question was previously asked in
RRC Group D Previous Paper 21 (Held On: 17 Sept 2018 Shift 2)
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  1. 17.8 সেন্টিমিটার
  2. 17.5 সেন্টিমিটার
  3. 17 সেন্টিমিটার
  4. 18 সেন্টিমিটার

Answer (Detailed Solution Below)

Option 1 : 17.8 সেন্টিমিটার
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Detailed Solution

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ধরি অপর কর্ণটির দৈর্ঘ্য = x সেন্টিমিটার

প্রশ্নানুসারে,

⇒ x2 + 102 = 2(82 + 122)

⇒ x2 + 100 = 2(64 + 144)

⇒ x2 = 2 × 208 – 100

⇒ x2 = 316

⇒ x = 17.8

∴অপর কর্ণটির দৈর্ঘ্য হ'ল প্রায় 17.8 সেন্টিমিটার

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