the longest side must be less than the sum of the two shorter side
the difference between the longest and shortest sides must be less than the middle side
L + A = 11
L < (A + 4) ... L < (11 - L + 4)
... 2 L < 15 ... L < 7.5
L = 7, A = 4
one side of a triangle is 4 cm. The sum of the two other sides is 11 and all sides are integers. What is the largest possible side.
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