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    Maths-
    General
    Easy

    Question

    In any triangle A B C comma fraction numerator a to the power of 2 end exponent plus b to the power of 2 end exponent plus c to the power of 2 end exponent over denominator R to the power of 2 end exponent end fraction has the maximum value of

    1. 3  
    2. 6  
    3. 9  
    4. None of these  

    The correct answer is: 9

      In triangle, A B C comma
      fraction numerator a to the power of 2 end exponent plus b to the power of 2 end exponent plus c to the power of 2 end exponent over denominator R to the power of 2 end exponent end fraction equals 4 open parentheses sin to the power of 2 end exponent invisible function application A plus sin to the power of 2 end exponent invisible function application B plus sin to the power of 2 end exponent invisible function application C close parentheses equals 8 open parentheses 1 plus cos invisible function application A cos invisible function application B cos invisible function application C close parentheses less or equal than 8 open parentheses 1 plus fraction numerator 1 over denominator 8 end fraction close parentheses
      less or equal than 9

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