Sides of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540 cm. Find its area.
Solution:
Let length of first side of triangle
cm
Let length of second side of triangle
cm
Let length of third side of triangle
cm
Perimeter of triangle
cm
So, we get
So, length of first side of triangle
cm
Length of second side of triangle
cm
Length of third side of triangle
cm
Semi-perimeter of triangle
cm
Using Heron’s formula to find area of triangle, we get
Area of triangle
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