Asked by ismael
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.
Answers
Answered by
Scott
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
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
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