Question

The sides of a triangle are given by 8n-25, 9n - 48 and 18n-91, where n is a natural number.
How many such distinct triangles exist?

Answer 1

Answer:

It rather depends on whether you regard 7,5,4 as the same triangle as 5,7,4 (edges in a different order), and whether you allow the triangles 8,8,0 (with a zero edge) or 8,5,3 (with a zero area).

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