9th Class Mathematics Heron's Formula Question Bank Herons Formula

  • question_answer
    In the given figure, the area of the \[\Delta ABC\] is

    A) \[13.24\,c{{m}^{2}}\]             

    B) \[~12.28\,c{{m}^{2}}\]         

    C)                    \[~11.32\,c{{m}^{2}}\]           

    D)        \[~15.37\,c{{m}^{2}}\]                       

    Correct Answer: B

    Solution :

    Here a = 1 cm, b = 4 cm, c = 8 cm \[\therefore \] \[s=\frac{11+4+8}{2}=\frac{23}{2}=11.5\,cm\] Area \[=\sqrt{11.5\times (11.5-11)\times (11.5-4)\times (11.5-8)}\] \[=\sqrt{11.5\times 0.5\times 7.5\times 3.5}\] \[=\sqrt{150.94}=12.8\,c{{m}^{2}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner