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.

1 answer

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