11th Class Mental Ability Mensuration Question Bank Question - Mensuration

  • question_answer
    The sides of a triangle are: 25 m, 60 m and 65 m, its area is: 

    A) 790 sq. m

    B) 850 sq. m

    C) 750 sq. m

    D) 600 sq. m

    E) None of these

    Correct Answer: C

    Solution :

    Explanation Option (c) is correct. \[s=\frac{1}{2}(25+60+65)=75\] \[\therefore \]Area            = \[\sqrt{75(75-25)(75-60)(75-65)}\]             = \[\sqrt{75\times 50\times 15\times 10}\]             = \[\sqrt{15\times 5\times 5\times 10\times 15\times 10}\]             = \[15\times 5\times 10=750\,sq.\,\,m.\]


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