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6th Class Mathematics Mensuration Question Bank Mensuration Basics

  • question_answer
    For an isosceles triangle having base x and each of the equal sides as y we have
    I. Area\[=\frac{x\sqrt{4{{y}^{2}}-{{x}^{2}}}}{4}\]
    II. Perimeter \[=(2y+x)\]
    III. Height  \[=\frac{1}{2}\sqrt{4{{y}^{2}}-{{x}^{2}}}\]
    Which of the following is true?

    A)  I only                          

    B)  I and II only      

    C)  II and III only  

    D)  I, II and III

    Correct Answer: D

    Solution :

    For an isosceles triangles having base x and each of equal side as y, we must have
    I. Area\[=\frac{x\sqrt{4{{y}^{2}}-{{x}^{2}}}}{4}\]
    II. Perimeter\[=(2y+x)\]
    III. Height\[=\frac{1}{2}\sqrt{4{{y}^{2}}-{{x}^{2}}}\]
    \[\therefore \]  I, II and III are all true. So, the correct answer is d.


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