ΔABC में, D, AB पर एक बिंदु इस प्रकार है कि BD = 3 सेमी और DA = 4 सेमी।E, BC पर एक ऐसा बिंदु है कि DE || AC है। तो ΔBDE का क्षेत्रफल : समलंब ACED का क्षेत्रफल

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SSC CGL 2020 Tier-I Official Paper 13 (Held On : 20 Aug 2021 Shift 1)
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  1. 16 : 33
  2. 33 : 16
  3. 40 : 9
  4. 9 : 40

Answer (Detailed Solution Below)

Option 4 : 9 : 40
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दिया गया है:

BD = 3 सेमी

DA = 4 सेमी

प्रयुक्त अवधारणा:

समानता की अवधारणा

गणना:

यहां ΔABC ∼ ΔBDE [∵ DE || AC और B दो त्रिभुजों के लिए उभयनिष्ठ हैं]

इसलिए,

ΔABC/ΔBDE = 72/32

ΔABC/ΔBDE = 49/9

ACED = ΔABC - ΔBDE

⇒ 49 - 9 = 40

अनुपात 9 : 40 है

तो ΔBDE का क्षेत्रफल : समलम्ब ACED का क्षेत्रफल 9 : 40 है

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