ΔABC ∼ ΔPQR है, (ΔABC) का क्षेत्रफल 16 सेमी2 है और (ΔPQR) का क्षेत्रफल 25 सेमीहै।यदि BC = 20 सेमी है, तब QR का मान कितना है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 4)
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  1. 15 सेमी
  2. 10 सेमी
  3. 25 सेमी
  4. 16 सेमी

Answer (Detailed Solution Below)

Option 3 : 25 सेमी
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प्रयुक्त अवधारणा:

दो समरूप त्रिभुजों के क्षेत्रफलों का अनुपात, संगत भुजाओं और माध्यिकाओं के वर्गों के अनुपात के बराबर होता है।

गणना

ΔABC ∼ ΔPQR

∴ (BC/QR)2 = (∆ABC) का क्षेत्रफल / (∆PQR) का क्षेत्रफल

⇒ (20/QR)2 = 16/25

⇒ 20/QR = 4/5

∴ QR = 25 सेमी

सही उत्तर 25 सेमी है। 

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