SOLUTION: A triangle has one side with a measure of 5 centimeters and another side with 12 centimeters. Is it possible for the third side to have a measure of 7 centimeters?

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Question 838183: A triangle has one side with a measure of 5 centimeters and another side with 12 centimeters. Is it possible for the third side to have a measure of 7 centimeters?
Answer by KMST(5328) About Me  (Show Source):
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No, it is not possible, because 5%2B7=12 .
A straight line is the shortest distance between two points.
As a conmsequence one side of a triangle must be shorter than the sum of the other too.
If a triangle has side AB measuring 5 centimeters and side BC measuring 7 centimeters,

side AC is the straight line distance from A to C, and it has to be shorter than the distance going from A to C passing through B.
The distance passing through B is 5cm%2B7cm=12cm , but AC must be shorter than that.