10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The sides of a triangle are 3 cm, 4 cm and 5 cm. Its area is

    A)  \[\text{12 c}{{\text{m}}^{\text{2}}}\]

    B)  \[\text{15 c}{{\text{m}}^{\text{2}}}\]

    C)  \[\text{2}0\text{ c}{{\text{m}}^{\text{2}}}\]

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

    Correct Answer: D

    Solution :

     Area of the triangle \[=\sqrt{s(s-a)\,(s-b)\,(s-c)}\] \[s=\frac{3+4+5}{2}=6\] \[=\sqrt{6(6-3)(6-4)\,(6-5)}\] \[=\sqrt{6\times 3\times 2\times 1}=6\,c{{m}^{2}}\]


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