9th Class Mathematics Related to Competitive Exam Question Bank 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. \[\operatorname{s}=\frac{1}{2}(25+60+65)=75\] \[\therefore \,\,\,Area\,\,=\,\sqrt{75\,(75-25)(75-60)(75-65)}\] \[=\,\sqrt{75\times 50\times 15\times 10}\] \[=\,\sqrt{15\times 5\times 5\times 10\times 15\times 10}\] \[=15\times 5\times 10=750\,sq.\,m.\]      


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