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All the sides of a triangle are integers, and the perimeter is \(18\). How many different possible triangles are there? (Assume that the triangle is non-degenerate. Two triangles are considered the same if they are congruent.)

 May 16, 2022
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A Total of 7?
(3, 7, 8)

(4, 7, 7)

(2, 8, 8)

(6, 6, 6)
(4, 6, 8)

(5, 5,  8)
(5, 6, 7)

 May 16, 2022

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