ΔPQR হল একটি সমকোণী ত্রিভুজ। কোণ PQR = 90° এবং QS ⊥ PR। যদি PQ = 6 সেমি এবং PS = 4 সেমি হয়, তাহলে QS এর দৈর্ঘ্য নির্ণয় করুন।

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SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 10 March, 2023 Shift 4)
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  1. 2√5 সেমি
  2. 3 সেমি
  3. 6 সেমি
  4. 5 সেমি

Answer (Detailed Solution Below)

Option 1 : 2√5 সেমি
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Detailed Solution

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প্রদত্ত:

কোণ PQR = 90° এবং QS ⊥ PR

PQ = 6 সেমি এবং PS = 4 সেমি

অনুসৃত ধারণা:

সমকোণী ত্রিভুজে,

অতিভুজ2 = ভূমি2 + লম্ব2

গণনা:

F4 Savita SSC 5-6-23 D5

ত্রিভুজ PQR এ = 90° এবং QS ⊥ PR

∴ QSP = 90°

QSP এ পিথাগোরাসের উপপাদ্য প্রয়োগ করার পর

QS2 + SP2 = QP2

⇒ x2 + 42 = 62

⇒ x2 = 36 - 16

⇒ x = √ 20

⇒ x = 2√ 5

∴ বিকল্প 1 হল সঠিক উত্তর।

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