Area of the triangle whose perimeter is =270 and the ratio of sides are 25:17:12.
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22
Step-by-step explanation:
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 square
Answered by
2
answer is 2250 m ^2
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