The sides of a triangle are in arithmetic progression and its area is 3/5th the area of an equilateral triangle with the same perimeter.
Find the ratio of the sides of the triangle.
Call the three sides x-y, x, and x+y.
Using Heron's formula, the area of the triangle is:
The area of the equilateral triangle is:
Putting this together:
So, either x=0(obviously not forming a triangle), or x²/3+3y²/4=0
Would anyone like to check my work or finish it?
Posted by Tristan
on 2003-11-23 12:22:33