10th Class Mathematics Areas Related to Circles Question Bank Case Based (MCQs) - Areas Related to Circles

  • question_answer
    Study Case : Q. 36 to 40
    Gayatri have a triangle shaped grass field. At the three  comers of the field, a cow a buffalo and a horse and tied separately to the pags by means of ropes of \[\text{3}.\text{5 m}\] each of graze in the field, as shown in the figure. Sides of the triangle field are \[\text{25 m},\]\[\text{24 m}\] and\[\text{7 m}\].
    Based on the above information, answer the following questions.
    Area of triangle field is

    A) \[82\,{{m}^{2}}\]

    B) \[84\,{{m}^{2}}\]

    C)    \[86\,{{m}^{2}}\]

    D) \[88\,{{m}^{2}}\]

    Correct Answer: B

    Solution :

    [b] Since \[\Delta ABC\]is the right angled triangle.
    \[\therefore \] Area of triangle \[ABC=\frac{1}{2}\times 7\times 24=84{{m}^{2}}\]

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