ΔABC आणि ΔDEF हे समान त्रिकोण आहेत आणि त्यांचे क्षेत्रफळ अनुक्रमे 49 सेमी2 आणि 144 सेमी2 आहेत. जर EF = 16.80 सेमी, तर BC काढा.

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 2)
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  1. 7.5 सेमी
  2. 9.8 सेमी
  3. 8.7 सेमी
  4. 11.4 सेमी

Answer (Detailed Solution Below)

Option 2 : 9.8 सेमी
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दिलेल्याप्रमाणे:

ΔABC आणि ΔDEF हे समान त्रिकोण आहेत आणि त्यांचे क्षेत्रफळ अनुक्रमे 49 सेमी2 आणि 144 सेमी2 आहेत.

EF = 16.80 सेमी

वापरलेली संकल्पना:

जर दोन त्रिकोण सारखे असतील, तर दोन्ही त्रिकोणांच्या क्षेत्रफळाचे गुणोत्तर त्यांच्या संबंधित बाजूंच्या गुणोत्तराच्या वर्गाच्या प्रमाणात असते.

गणना:

ΔABC आणि ΔDEF समान त्रिकोण असल्याने,

⇒ BC = 7/12 × 16.80

⇒ BC = 9.8

BC ची लांबी 9.8 सेमी आहे.

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