NTSE Sample Paper NTSE SAT Practice Test-20

  • question_answer
    The sides of a triangle are 3 cm, 4 cm and 5 an- The area of the triangle formed by joining the mid-points of the sides of this triangle is

    A) \[\frac{3}{4}c{{m}^{2}}\]       

    B)        \[\frac{3}{2}c{{m}^{2}}\]

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

    D) \[6\,c{{m}^{2}}\]

    Correct Answer: B

    Solution :

    [b] Clearly the triangle is a right angled as 52 =32+42.  \[\therefore \] Area \[=\frac{1}{2}\times \text{ }3\text{ }\times 4\text{ }c{{m}^{2}}=6\text{ }c{{m}^{2}}.\] We know area of the triangle joining the mid-point of the given triangle \[=\frac{1}{4}\]of the area of the given triangle \[=\frac{1}{4}\times 6\,\,c{{m}^{2}}=\frac{3}{2}\,\,c{{m}^{2}}.\]


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