7th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    If the altitude of an equilateral triangle is \[\sqrt{6}\,cm,\]its area is

    A)  \[2\sqrt{3}\,c{{m}^{2}}\]  

    B)  \[2\sqrt{2}\,c{{m}^{2}}\]

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

    D)  \[6\sqrt{2}\,c{{m}^{2}}\]

    Correct Answer: A

    Solution :

         \[\frac{\sqrt{3}}{2}\times \]side\[=\sqrt{6}\] Side\[=2\sqrt{2}\,cm.\] Area\[=\frac{\sqrt{3}}{4}\times {{(side)}^{2}}=\frac{\sqrt{3}}{4}\times {{(2\sqrt{2})}^{2}}\] \[=2\sqrt{3}\,c{{m}^{2}}.\]           


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