ΔABC चे क्षेत्रफळ 44 चौरस सेमी आहे. जर D हा BC चा मध्यबिंदू असेल आणि E हा AB चा मध्यबिंदू असेल, तर ΔBDE चे क्षेत्रफळ (चौरस सेमी मध्ये) किती आहे?

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SSC CGL Previous Paper 65 (Held On: 3 March 2020 Shift 1)
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  1. 44
  2. 22
  3. 11
  4. 5.5

Answer (Detailed Solution Below)

Option 3 : 11
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F1 Ashish 07-04-2020 Savita D2

जर D हा BC चा मध्यबिंदू असेल आणि E हा AB चा मध्यबिंदू असेल तर

DE ∥ AC

समजा BC = 2 एकक आणि BD = 1 एकक

जसे आपणास माहित आहे,

ΔBDE चे क्षेत्रफळ/ΔBCA चे क्षेत्रफळ = (BD/BC)2

⇒ ΔBDE चे क्षेत्रफळ/44 = (1/2)2

∴ ΔBDE चे क्षेत्रफळ= (1/4) × 44 = 11 चौरस सेमी

 

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