SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 22 inches and a second side that is 2 inches less than

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 22 inches and a second side that is 2 inches less than      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1080619: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 22 inches and a second side that is 2 inches less than twice the third side, what are the possible lengths for the second and third sides?
Found 2 solutions by rapture, ikleyn:
Answer by rapture(86) About Me  (Show Source):
You can put this solution on YOUR website!
Let A, B, and C represent the 3 sides of the triangle.

A = 22

B = 2x - 2

C = x

Note: This problem is not asking you to solve for x. It is asking for an inequality that defines the possible lengths of the second and third sides.

Here is the set up:

B + A > C becomes

(2x - 2) + 22 > x

You finish.


Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
I am not sure that the setup of the other tutor is correct.

In any case, from that setup NOTHING follows.


O, sorry !!
Still something follows. Namely, from

(2x - 2) + 22 > x

follows

X > - 20.