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    Maths-
    General
    Easy

    Question

    t area of triangle A B C isblank open parentheses square root of 3 minus 1 close parentheses divided by 2 comma blank b equals 2 andblank c equals open parentheses square root of 3 minus 1 close parentheses andblank angle A is acute. The measure of the angle C is

    1. 15 degree  
    2. 30 degree  
    3. 60 degree  
    4. 75 degree  

    The correct answer is: 15 degree

      Usingblank increment equals fraction numerator 1 over denominator 2 end fraction blank b c sin invisible function application A
      therefore fraction numerator 1 over denominator 2 end fraction cross times 2 cross times open parentheses square root of 3 minus 1 close parentheses sin invisible function application A equals fraction numerator square root of 3 minus 1 over denominator 2 end fraction
      therefore sin invisible function application A equals fraction numerator 1 over denominator 2 end fraction rightwards double arrow A equals 30 degree

      tan invisible function application fraction numerator B minus C over denominator 2 end fraction equals fraction numerator b minus c over denominator b plus c end fraction cot invisible function application fraction numerator A over denominator 2 end fraction equals fraction numerator 3 minus square root of 3 over denominator square root of 3 plus 1 end fraction bullet fraction numerator square root of 3 plus 1 over denominator square root of 3 minus 1 end fraction equals square root of 3
      rightwards double arrow B minus C equals 120 degree
      Alsoblank B plus C equals 150 degree rightwards double arrow C equals 15 degree

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