side of a traingle are in the ratio of 12:17:25 and its perimeter is 540.Find its area ​

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side of a traingle are in the ratio of 12:17:25 and its perimeter is 540.Find its area

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Margaret 8 months 2021-09-23T11:30:14+00:00 1 Answer 0 views 0

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    2021-09-23T11:32:13+00:00

    Answer:

    Step-by-step explanation:

    let the sides of triangle be =12x ,17x , 25x

    perimeter of the triangle = 540m

    12x+17x+25x =540

    54x=540

    x=10m

    so, the sides of the triangle are =a= 12*10 = 120m

                                                           b= 17*10 = 170m

                                                            c= 25*10 =250m

    area of triangle (By herons formula) =>

    s=(a+b+c)/2

       =540/2

       = 270 m

    \sqrt{s(s-a)(s-b)(s-c)} \\\sqrt{270(270-120)(270-170)(270-250)} \\\sqrt{270*150*100*20} \\\sqrt{81000000} \\=9000m^{2}

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