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In triangle ABC , if \angle C=60^{\circ}, \angle A=30^{\circ}, c=10, then value of a and b respectively are

Option: 1

5,5\sqrt{2}


Option: 2

5\sqrt{3},5


Option: 3

5,5\sqrt{3}


Option: 4

None of these


Answers (1)

best_answer

  \\\angle C=60^{\circ}, \angle A=30^{\circ}\Rightarrow \angle B=90^{\circ}\\ \\Now,\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\\ \\\frac{a}{\frac{1}{2}}=\frac{b}{\frac{\sqrt{3}}{2}}=\frac{10}{1}\\\\ a=5,b=5\sqrt{3}

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jitender.kumar

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