Question 647407: The sum of lengths of any two sides of triangle must be greater than third side. If a triangle has one side that is 14 inches and a second side that is one inch less than twice the third, what are the possible lengths for second and third?
Answer by aaronwiz(69)   (Show Source):
You can put this solution on YOUR website! Hi, my name is Aaron I am in 10th grade and im in honors trig/pre-calc.
This is called the triangle inequality thm.
Lets call the third side "X"
that makes the second side 2x-1
These two sides added together, must be greater than the first side, which is 14. lets make an inequality out of it.
x+2x-1>14
solve for x
3x>15
x>5
as long as X is greater than 5, you know the triangles exist.
Hope I helped. I would really appreciate your recommendation, their are plenty of other things I could be doing rather then spending time on this site helping people. Good luck! :)
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