SOLUTION: i am having a hard time in trying to solve this problem If two sides of a triangle are 31cm and 85cm long and the measure of the third side must be a whole number of centimeters.

Question 535807: i am having a hard time in trying to solve this problem If two sides of a triangle are 31cm and 85cm long and the measure of the third side must be a whole number of centimeters. What is the longest the third side can be?
What is the shortest the third side can be? appreciate some help
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let's say we have the triangle with sides a, b, and c, where a = 31cm., b = 85cm., and side c is to be determined.
Side c cannot be shorter than or equal to the difference of sides a and b, so...

The shortest that side c can be is 55cm.
Also, side c cannot be longer than or equal to the sum of sides a and b, so...

The longest that side c can be is 115cm.

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