चौरसाचे क्षेत्रफळ 50 सेमी2 असल्यास चौकोनाच्या कर्णाच्या लांबीची गणना करा.

  1. 50√2 cm
  2. 5 cm
  3. 15√2 cm
  4. 10 cm

Answer (Detailed Solution Below)

Option 4 : 10 cm
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दिल्याप्रमाणे:

चौरसाचे क्षेत्रफळ = 50 सेमी2

वापरलेले सुत्र:

चौरसाचे क्षेत्रफळ = a2

चौरसाची भूजा  ‘a’ साठी, कर्ण = √2a

गणना:

a2 = 50 सेमी2

⇒ a = √(5 × 5 × 2) = 5√2 सेमी

अशा प्रकारे, चौरसाच्या कर्णांची लांबी= √2a = √2 × 5√2 = 10 सेमी
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Last updated on May 26, 2025

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