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

  • question_answer
    The perimeter of an equilateral triangle is 60 m. What is its area?

    A) \[10\sqrt{3}\,{{m}^{2}}\]                    

    B) \[15\sqrt{3}\,{{m}^{2}}\]        

    C) \[20\sqrt{3}\,{{m}^{2}}\]        

    D)   \[100\sqrt{3}\,{{m}^{2}}\]   

    Correct Answer: D

    Solution :

    Perimeter of an equilateral triangle  \[60\,m\] \[\Rightarrow \]\[3a=60\,m\Rightarrow a=20\,m\] Area of an equilateral triangle \[=\frac{\sqrt{3}}{4}{{a}^{2}}=100\sqrt{3}{{m}^{2}}\]


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