(2, 4), (-3, -1) మరియు (5, 3) చేత ఇవ్వబడిన త్రిభుజం యొక్క వైశాల్యం:

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RRB ALP Previous Paper 11 (Held On: 17 Aug 2018 Shift 1)
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  1. 7 చదరపు యూనిట్లు
  2. 14 చదరపు యూనిట్లు
  3. 20 చదరపు యూనిట్లు
  4. 10 చదరపు యూనిట్లు

Answer (Detailed Solution Below)

Option 4 : 10 చదరపు యూనిట్లు
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Detailed Solution

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ఇచ్చిన:

(x 1, y 1 ) = (2, 4),

(x 2, y 2 ) = (-3, -1)

(x 3, y 3 ) = (5, 3)

ఉపయోగించిన సూత్రం:

త్రిభుజం యొక్క వైశాల్యం = [x 1 (y 2 - y 3 ) + x 2 (y 3 - y 1 ) + x 3 (y 1 - y 2 )] / 2

లెక్కింపు:

త్రిభుజం యొక్క వైశాల్యం = [x 1 (y 2 - y 3 ) + x 2 (y 3 - y 1 ) + x 3 (y 1 - y 2 )] / 2

సూత్రంలో విలువలను ప్రత్యామ్నాయం చేయండి

⇒[2 (-1 - 3) + (-3) (3 - 4) + 5 (4 + 1)] / 2

 [-8 + 3 + 25] / 2 = 10 చదరపు యూనిట్లు

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