একটি সমকোণী ত্রিভুজ ABC তে B হ'ল সমকোণী, এবং tan A = 4/3। যদি AC = 25 সেমি হয়, তবে BC এর দৈর্ঘ্য কত হবে? 

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RRB ALP CBT I 31 Aug 2018 Shift 2 Official Paper
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  1. 24 সেমি
  2. 20 সেমি
  3. 18.75 সেমি
  4. 33.3 সেমি

Answer (Detailed Solution Below)

Option 2 : 20 সেমি
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F1 Mohd.S 18-07-2020 Savita D1

প্রদত্ত, tan A = 4/3 = BC/AB

ধরা যাক, BC = 4x এবং AB = 3x 

পিথাগোরাসের উপপাদ্য দ্বারা,

AC2 = AB2 + BC2

⇒ 252 = (3x)2 + (4x)2

⇒ 625 = 9x2 + 16x2

⇒ 625 = 25x2

⇒ x2 = 25

⇒ x = 5

∴ BC এর দৈর্ঘ্য হ'ল = 4x = 4 × 5 = 20 সেমি। 
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