যদি \(\triangle \mathrm{ABC} \sim \triangle \mathrm{PQR}\) হয়, AB = 4 সেমি, PQ = 6 সেমি, QR = 9 সেমি এবং RP = 12 সেমি হয়, তাহলে \(\triangle \mathrm{ABC} \text {. }\) এর পরিসীমা নির্ণয় করো।

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 3)
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  1. 18 সেমি 
  2. 16 সেমি 
  3. 20 সেমি 
  4. 22 সেমি 

Answer (Detailed Solution Below)

Option 1 : 18 সেমি 
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Detailed Solution

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প্রদত্ত:

AB = 4 সেমি, PQ = 6 সেমি, QR = 9 সেমি এবং RP = 12 সেমি 

গণনা:

F1 Other Arbaz  30-10-23 D18

ΔPQR এর বাহুগুলির অনুপাত হবে

⇒ 6 : 12 : 9 = 2 : 4 : 3

যেহেতু \(\triangle \mathrm{ABC} \sim \triangle \mathrm{PQR}\)

সুতরাং, বাহুগুলির অনুপাত একই হবে।

⇒ 2 একক = 4

⇒ 1 একক = 2

⇒ 2 × 2 : 4 × 2 : 3 × 2

⇒ 4 : 8 : 6

ΔABC এর পরিসীমা = (4 + 8 + 6) = 18

∴ সঠিক উত্তরটি হল 18 সেমি।

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