చతురస్రం యొక్క వైశాల్యం 32 సెం.మీ 2 అయితే, ఆ చతురస్రం కర్ణం పొడవును లెక్కించండి.

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RRB ALP Electrician 22 Jan 2019 Official Paper (Shift 1)
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  1. 8 సెం.మీ
  2. 16 సెం.మీ
  3. 4 సెం.మీ
  4. 12 సెం.మీ

Answer (Detailed Solution Below)

Option 1 : 8 సెం.మీ
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Detailed Solution

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ఇచ్చిన దత్తాంశం:

చతురస్రం యొక్క వైశాల్యం = 32 సెం.మీ2

సూత్రం:

వైశాల్యం = (భుజం)2

కర్ణం = √2 × భుజం

సాధన:

చతురస్రం భుజం పొడవు x అనుకోనుము

ప్రశ్న ప్రకారం,

x2 = 32

⇒ x = √32

⇒ x = 4√2

∴ కర్ణం పొడవు = 4√2 × √2 = 8 సెం.మీ

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