ΔABC मध्ये, D हा AB बाजूचा एक असा बिंदू आहे की BD = 3 सेमी आणि DA = 4 सेमी. E हा BC वर एक असा बिंदू आहे की DE || AC. तर ΔBDE चे क्षेत्रफळ : समलम्ब ACED चे क्षेत्रफळ

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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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दिलेले आहे:

BD = 3 सेमी

DA = 4 सेमी

वापरलेली संकल्पना:

समानतेची संकल्पना

गणना:

F3 ArunK Madhuri 17.01.2022 D3

येथे ΔABC ∼ ΔBDE [∵ DE || AC आणि ∠B दोन त्रिकोणांसाठी सामान्य आहे]

तर,

ΔABC/ΔBDE = 72/32

⇒ ΔABC/ΔBDE = 49/9

ACED = ΔABC - ΔBDE

⇒ 49 - 9 = 40

∴ गुणोत्तर 9 : 40 आहे

∴ ΔBDE चे क्षेत्रफळ : समलंब ACED चे क्षेत्रफळ 9 : 40 आहे.

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