JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Relation between sides and angles, Solutions of triangles

  • question_answer
    If \[{{c}^{2}}={{a}^{2}}+{{b}^{2}}\], then \[4s(s-a)(s-b)(s-c)=\] [EAMCET 1986; Pb. CET 1990]

    A) \[{{s}^{4}}\]

    B) \[{{b}^{2}}{{c}^{2}}\]

    C) \[{{c}^{2}}{{a}^{2}}\]

    D) \[{{a}^{2}}{{b}^{2}}\]

    Correct Answer: D

    Solution :

    \[\Delta \]is right angled, \[\angle C={{90}^{o}}\] \[\therefore 4{{\Delta }^{2}}=4{{\left( \frac{1}{2}ab \right)}^{2}}={{a}^{2}}{{b}^{2}}\].


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