SOLUTION: why must the sum of two sides of a triangle always be greater than the third side.

Algebra.Com
Question 167950This question is from textbook mathematical ideas
: why must the sum of two sides of a triangle always be greater than the third side. This question is from textbook mathematical ideas

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
why must the sum of two sides of a triangle always be greater than the third side. 

Because the shortest distance between two points 
is the line segment joining them.




The shortest distance from point A to point B 
is the segment AB. So it certainly farther to go 
from A to B by going to C first and then from C to B.

Edwin
RELATED QUESTIONS

If two sides of a triangle are 3 ft and 4ft, then the third side must be LONGERthan... (answered by josgarithmetic,ikleyn)
The sum of the lengths of any two sides of a triangle must be greater than the third... (answered by ankor@dixie-net.com)
The sum of the lengths of any two sides of a triangle must be greater than the third... (answered by Edwin McCravy)
The sum of the lengths of any two sides of a triangle must be greater than the third... (answered by sudhanshu_kmr)
The sum of the lengths of any two sides of a triangle must be greater than the third... (answered by josgarithmetic)
The sum of the lengths of any two sides of a triangle must be greater than the third... (answered by josgarithmetic)
The sum of the lengths of any two sides of a triangle must be greater than the third... (answered by robertb)
The sum of the lengths of any two sides of a triangle must be greater than the third... (answered by Boreal,MathTherapy,ikleyn)
The sum of the lengths of any two sides of a triangle must be greater than the... (answered by Alan3354)