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Sides Of A Triangle (Posted on 2003-11-23) Difficulty: 3 of 5
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.

No Solution Yet Submitted by Ravi Raja    
Rating: 4.1111 (9 votes)

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Some Thoughts Starters | Comment 4 of 14 |
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
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