10th Class Mathematics Triangles Question Bank MCQs - Triangles

  • question_answer
    The area of a right angled isosceles triangle whose hypotenuse is equal to \[\text{27}0\,\text{m}\] is:

    A) \[\text{19}000\text{ }{{\text{m}}^{\text{2}}}\]

    B) \[\text{18225 }{{\text{m}}^{\text{2}}}\]

    C) \[\text{17256 }{{\text{m}}^{\text{2}}}\]

    D) \[\text{18325 }{{\text{m}}^{\text{2}}}\]

    Correct Answer: B

    Solution :

    [b]  Hypotenuse \[=270m\]
    \[Hypotenus{{e}^{2}}=Sid{{e}^{2}}+Sid{{e}^{2}}=2{{(Side)}^{2}}\]
    \[{{(Side)}^{2}}={{(270)}^{2}}/2=72900/2=36450\]
    or         Side \[=190.91\,m\]
    Required Area
    \[=1/2\times 190.91\times 190.91=36446.6/2\]
                \[=18225\,{{m}^{2}}\,\,(approx)\]


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