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

  • question_answer
    A hand fan is made by stitching 10 equal size triangular strips of two different types of paper as shown below. The dimensions of equal strips are 25 cm, 25 cm and 14 cm. Find the total area of paper needed to make the hand fan.

    A) \[840\,c{{m}^{2}}\]                

    B)        \[1680\,c{{m}^{2}}\]              

    C)        \[480\,c{{m}^{2}}\]                

    D)        \[7844\,c{{m}^{2}}\]                          

    Correct Answer: B

    Solution :

    \[s=\frac{25+25+14}{2}=32\,cm\] \[\therefore \]Area of 1 triangular piece \[=\sqrt{32\times 7\times 7\times 18}=168\,c{{m}^{2}}\] \[\therefore \]Total area of paper needed to make the hand \[fan=(168\times 10)\,c{{m}^{2}}=1680\,c{{m}^{2}}\]


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