10th Class Mathematics Introduction to Trigonometry Question Bank Trigonometry

  • question_answer
    In\[\Delta ABC,\,\,a=4\,cm,\,\,b=6\,cm\] and \[\angle C=30{}^\circ \], then the area of the triangle is

    A) \[12\,\,c{{m}^{2}}\]

    B) \[6\sqrt{2}\,c{{m}^{2}}\]

    C) \[\frac{12}{\sqrt{3}}\,c{{m}^{2}}\]

    D) \[6\,\,c{{m}^{2}}\]

    Correct Answer: C

    Solution :

     Area of the triangle \[=\frac{1}{2}\,\,ab\,\,\sin \,C\] \[=\frac{1}{2}\times 4\times 6\times \sin {{30}^{o}}=6\,c{{m}^{2}}\]


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