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Step-by-step explanation:
let the sides be 12x , 17x, 25x
the perimeter of traingle is the sum of all the sides.
hence, 12x+17x+25x=540
=> 54x=540
=> x=540/54
=> x=10
So the sides are 12*10=120cm
17*10=170cm
25*10=250cm
using heron's formula we get
semi perimeter=(120+170+250)/2
=270
Now √(270-120)+(270-170)+(270-250)
√(150+100+20)
√270
so,the area of triangle is √270cm²
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