Sides of a triangle are in the ratio of `12 : 17 : 25`and its perimeter is `540 cm.` Find its area.

Explanation

To find the area of a triangle with sides in the ratio of \(12 : 17 : 25\) and a perimeter of \(540 \, \text{cm}\), we can follow these steps:

### Step 1: Determine the sides of the triangle
The sides of the triangle can be expressed in terms of a variable \(x\):
- First side \(a = 12x\)
- Second side \(b = 17x\)
- Third side \(c = 25x\)

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