ত্রিভুজ PQR এ, কোণ PQR একটি সমকোণ। কোণ PRQ হল 60° এবং PR বাহুর দৈর্ঘ্য 20 সেমি। QR বাহুর দৈর্ঘ্য কত?

This question was previously asked in
ISRO VSSC Technician-B Fitter 10 Dec 2017 Official Paper
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  1. 10
  2. 20
  3. 40
  4. 15

Answer (Detailed Solution Below)

Option 1 : 10
Free
ISRO Technician B: Fitter Full Test 1
60 Qs. 180 Marks 90 Mins

Detailed Solution

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প্রদত্ত:

PQR একটি সমকোণী ত্রিভুজ।

∠PQR = 90° 

∠PRQ = 60°

PR = 20 cm

ব্যবহৃত ধারণা:

ত্রিভুজের সমস্ত অন্তঃকোণগুলির সমষ্টি 180°

sin θ = P/H

নির্ণয়:

ত্রিভুজের সমস্ত অন্তঃকোণগুলির সমষ্টি 180°

⇒ ∠PQR + ∠PRQ + ∠RPQ = 180° 

⇒ 90° + 60° + ∠RPQ = 180°

⇒ ∠RPQ = 180° – 150° = 30° 

অতএব, sin 30° = P/H

⇒ sin 30° = QR/PR

⇒ 1/2 = QR/20

⇒ QR = 10

QR বাহুর দৈর্ঘ্য 10 সেমি

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