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যদি $\triangle ABC$ এর $\angle B=90^\circ$ এবং $AC=2AB$ হয় তবে $\angle C$ এর মান কত?

Options :

  • (A) $45^\circ$
  • (B) $22.5^\circ$
  • (C) $30^\circ$
  • (D) $60^\circ$

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ত্রিভুজ

ধরি, $C=\theta$

$\sin\theta=\frac{AB}{AC}=\frac{AB}{2AB}$ [প্রশ্নানুসারে]

বা, $\sin\theta = \frac12$

বা, $\sin\theta = \sin 30^\circ$ [ ত্রিকোণমিতিক অনুপাতের তালিকা অনুসারে ]

সুতরাং, $\theta = 30^\circ$

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