ఒకవేళ ΔABC∼ΔPQR అయితే మరియు ΔABC వైశాల్యం/ ΔPQR వైశాల్యం = 25/49 అయితే, అప్పుడు AC/PR నిష్పత్తి ఎంత:

  1. 49/25
  2. 25/49
  3. 5/7
  4. 7/5

Answer (Detailed Solution Below)

Option 3 : 5/7
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Detailed Solution

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ఇవ్వబడింది:

ΔABC∼ΔPQR

 ΔABC వైశాల్యం/ ΔPQR వైశాల్యం = 25 : 49

కాన్సెప్ట్:

ఒకవేళ, ΔABC∼ΔPQR అయితే, అప్పుడు 

ΔABC వైశాల్యం/ ΔPQR వైశాల్యం = (AB/BC)2 = (PQ/QR)2 = (AC/PR)2

లెక్క:

ΔABC వైశాల్యం/ ΔPQR వైశాల్యం = 25/49

⇒ 25/49 = (AC/PR)2

⇒ (AC/PR) = √(25/49)

∴ AC/PR = 5/7

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