जर दोन समान त्रिकोणांच्या दोन संगत बाजू, 9 ∶ 4 च्या गुणोत्तरात असतील, तर त्यांच्या क्षेत्रफळांचे गुणोत्तर किती असेल?

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SSC CGL Memory Based Test (Held on: 14 July, 2023) (All Shifts)
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  1. 9 ∶ 4
  2. 3 ∶ 2
  3. 81 ∶ 16
  4. 27 ∶ 8

Answer (Detailed Solution Below)

Option 3 : 81 ∶ 16
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वापरलेली संकल्पना :

जर दोन त्रिकोण सारखे असतील तर,

त्यांच्या क्षेत्रफळांचे गुणोत्तर = त्यांच्या बाजूंच्या गुणोत्तराचा वर्ग
 
गणना:
 
दिलेली माहिती, 
 
समान त्रिकोणाच्या बाजूंचे गुणोत्तर 9 : 4 आहे.
 
वरील संकल्पना वापरुन, 

 

⇒ 

⇒ 

क्षेत्रफळाचे गुणोत्तर 81 : 16 आहे.

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