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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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Starter | Comment 10 of 14 |
Without loss of generality let us label the smallest side of the triangle a, the second smallest/largest side a+r, and the largest side (a+2r). Then the perimeter is 3*(a+r), and the corresponding equilateral triangle has sides of s=(a+r) and thus area of √3s²/4 = √3(a+r)²/4.
  Posted by Hal9000 on 2003-11-23 14:19:48
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