



 
Grace, You must know two basic facts about triangles to solve this problem:
At this point somebody who knows enough algebra can deduce the largest possible value of h immediately. If you are not confident with algebra, you can test the integer values of h starting at h = 1 (and skipping h = 4 and h = 12 to avoid isosceles triangles) to discover the largest value of h for which a, b, and c satisfy the triangle inequalities. Chris  


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