JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Circle connected with triangle

  • question_answer
    If the sides of triangle are 13, 14, 15, then the radius of its incircle is [EAMCET 1987]

    A) \[\frac{67}{8}\]

    B) \[\frac{65}{4}\]

    C) 4

    D) 24

    Correct Answer: C

    Solution :

    \[s=\frac{1}{2}(a+b+c)=21\] \[\Delta =\sqrt{[s(s-a)(s-b)(s-c)]}=84\];  \[\therefore \] \[r=\frac{\Delta }{s}=4\].


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