Problem 5 (Mystery Triangle) We are given an unusual triangle with the following properties

• the perimeter of the triangle is an integer as well as the area of the triangle
• if we were to list the lengths of the 3 sides of the triangle from shortest to longest length, followed by the area of the triangle, we would get four terms of an arithmetic sequence

Determine the three sides and the area of the triangle.

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Last modified on Sunday, March 21, 1999