త్రిభుజం యొక్క భూమి త్రిభుజం యొక్క అదే వైశాల్యాన్ని కలిగి ఉన్న సమాంతర చతుర్భుజం యొక్క భూమిలో ఐదు-ఆరవ వంతు. సమాంతర చతుర్భుజానికి త్రిభుజం యొక్క సంబంధిత ఎత్తుల నిష్పత్తి:

This question was previously asked in
RRB ALP Previous Paper 18 (Held On: 29 Aug 2018 Shift 3)
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  1. 5 : 12
  2. 6 : 5
  3. 5 : 3
  4. 12 : 5

Answer (Detailed Solution Below)

Option 4 : 12 : 5
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Detailed Solution

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త్రిభుజం మరియు సమాంతర చతుర్భుజం యొక్క ఎత్తు వరుసగా h మరియు Hగా అనుకుందాం.

సమాంతర చతుర్భుజం యొక్క భూమి xగా అనుకుందాం, త్రిభుజం యొక్క భూమి 5x/6.

త్రిభుజం వైశాల్యం = సమాంతర చతుర్భుజ వైశాల్యం

⇒ 1/2 × భూమి × ఎత్తు = భూమి × ఎత్తు

⇒ 1/2 × 5x/6 × h = x × H

∴ h/H = 6/5 × 2 = 12/5 = 12 ∶ 5

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