ΔABC-তে D এবং E হল যথাক্রমে AC এবং BC বাহুর বিন্দু, এমনভাবে যাতে DE || AB হয়, F হল CE এর একটি বিন্দু  এমনভাবে যাতে DF ∥ AE হয়, যদি CE = 6 সেমি, এবং CF = 2.5 সেমি হয়, তাহলে BC এর সমান কত?

This question was previously asked in
SSC CGL Previous Paper 69 (Held On: 4 March 2020 Shift 2)
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  1. 12 সেমি 
  2. 15.6 সেমি 
  3. 14 সেমি 
  4. 14.4 সেমি 

Answer (Detailed Solution Below)

Option 4 : 14.4 সেমি 
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Detailed Solution

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F2 S.G 15.4.20 Pallavi D3

ΔCAE তে 

CF/CE = CD/AC

CD/AC = 2.5/6 = 25/60

⇒ CD/AC = 5/12      ------ 1)

ধরি CF = 5x এবং CE = 12x

ΔCAB তে,

CE/BC = CD/AC

CD/AC = 6/BC      ------ 2)

সমীকরণ (1) এবং সমীকরণ (2) থেকে পাই 

6/BC = 5/12

⇒ BC = (12 × 6)/5

⇒ BC = 72/5

⇒ BC = 14.4

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