Question

side of a traingle are in the ratio of 12:17:25 and its perimeter is 540.Find its area
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Answer 1

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

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