Railways R.R.C. (Patna) Solved Paper Held on 1st Shift 2-11-2014

  • question_answer
    The height of an equilateral triangle is x. The area of the triangle is?

    A) \[{{x}^{2}}\]                          

    B) \[\frac{1}{2}{{x}^{2}}\]

    C) \[\frac{\sqrt{3}}{2}{{x}^{2}}\]            

    D) \[\frac{\sqrt{3}}{3}{{x}^{2}}\]

    Correct Answer: D

    Solution :

    Side of the triangle\[=\frac{2}{\sqrt{3}}\times x\] Now, the area of triangle                                         \[=\frac{\sqrt{3}}{4}{{(side)}^{2}}\] \[=\frac{\sqrt{3}}{3}\times \frac{4}{3}{{x}^{2}}\] \[=\frac{\sqrt{3}}{3}{{x}^{2}}\]


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