# Q5.    Sides of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540cm. Find its area.

Given the sides of a triangle are in the ratio of  and its perimeter is

Let us consider the length of one side of the triangle be

Then, the remaining two sides are  and

So, by the given perimeter, we can find the value of x:

So, the sides of the triangle are:

So, the semi perimeter of the triangle is given by

Therefore, using Heron's Formula, the area of the triangle is given by

Hence, the area of the triangle is .

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