একটি ত্রিভুজের ভূমি একটি সামন্তরিকের ভূমির অর্ধেক যার ক্ষেত্রফল ত্রিভুজের সমান। ত্রিভুজ এবং সামন্তরিকের উচ্চতার অনুপাত কত হবে?

This question was previously asked in
RRB ALP Previous Paper 4 (Held On: 10 Aug 2018 Shift 2)
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  1. 1 : 4
  2. 4 : 1
  3. 2 : 1
  4. 1 : 2

Answer (Detailed Solution Below)

Option 2 : 4 : 1
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ধরা যাক, সামন্তরিকের ভূমি = b

⇒ ত্রিভুজের ভূমি = b/2

ধরি, সামন্তরিকের উচ্চতা h1 এবং ত্রিভুজের উচ্চতা h2

প্রদত্ত, সামন্তরিকের ক্ষেত্রফল ত্রিভুজের ক্ষেত্রফলের সমান

⇒ 1/2 × b/2 × h2 = b × h1

∴ h2 ∶ h1 = 4 ∶ 1
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