Question

find the area of triangle whose side are in ration25:17:12 and primetere ia 270​

Answer 1

Answer:

area of triangle=√s(s-a) (s-b) (s-c)

here ,s is the semi-perimeter,

and,a,b,c, are the sides of triangle

given perimeter=270cm

semi-perimeter=s=perimeter/2

                          s=270/2

                          s=135cm

given ratios of sides is25:17:12

let sides be a=25x , b=17x , c=12x

where x is any no.

now,

perimeter = 270cm

a+b+c = 270cm

25x + 17x + 12x =270cm

42x + 12x =270cm

54x = 270cm

x = 270/54

x=5cm

so , ax=25x = 25*5 = 125cm

     bx=17x = 17*5 = 85cm

    cx=12x = 12*5 = 60cm

Area of triangle can be calculated by heron/s formula

which comes to 2250m squared

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