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?

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) (Show Source): You can put this solution on YOUR website!
No, it is not possible, because .
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 , but AC must be shorter than that.
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