∆ABC మరియు ∆PQR లలో, AB = 7 మీ, BC = 8 మీ, AC = 9 మీ, PQ = 7 మీ, QR = 8 మీ మరియు PR = 9 మీ. ఈ త్రిభుజాలకు కింది ఏది నిజం?

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SSC Selection Post 2024 (Graduate Level) Official Paper (Held On: 21 Jun, 2024 Shift 3)
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  1. ∆CBA ≅ ∆PQR
  2. ∆ABC ≅ ∆PQR
  3. ∆ABC ≅ ∆RQP
  4. ∆ABC ≅ ∆QRP

Answer (Detailed Solution Below)

Option 2 : ∆ABC ≅ ∆PQR
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SSC Selection Post Phase 13 Matriculation Level (Easy to Moderate) Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

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ఇవ్వబడింది:

∆ABC లో, AB = 7 మీ, BC = 8 మీ, AC = 9 మీ

∆PQR లో, PQ = 7 మీ, QR = 8 మీ, PR = 9 మీ

ఉపయోగించిన సూత్రం:

రెండు త్రిభుజాల యొక్క అన్ని అనురూప భుజాలు సమానంగా ఉంటే, ఆ త్రిభుజాలు SSS (భుజం-భుజం-భుజం) సర్వసమానత ద్వారా సర్వసమానాలు.

గణన:

ఇవ్వబడింది: AB = PQ = 7 మీ, BC = QR = 8 మీ, AC = PR = 9 మీ

అన్ని మూడు అనురూప భుజాలు సమానం.

⇒ ∆ABC ≅ ∆PQR (SSS సర్వసమానత ద్వారా)

∴ సరైన సమాధానం 2వ ఎంపిక.

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