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 .