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9th Class Mathematics Heron's Formula Question Bank Heron's Formula

  • question_answer
    The base of an isosceles triangle is 12 cm and its perimeter is 32 cm. What is its area?

    A)  12sq.cm                      

    B)  36 sq.cm         

    C)    24 sq.cm     

    D)                48 sq.cm                     

    Correct Answer: D

    Solution :

    Let the equal sides of an isosceles triangle be \[x\]cm. Its perimeter is \[x+x+12=32\Rightarrow x=10\,cm\] Area of the triangle is \[\Delta =\sqrt{16(16-10)(16-10)(16-12)}\] \[=8\times 6=48\,sq.\,cm\]


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