SOLUTION: If a triangle has sides of length (2x - 1) cm, (3x + 2) cm, and (12 - x) cm, find all possible values of x.

Algebra ->  Triangles -> SOLUTION: If a triangle has sides of length (2x - 1) cm, (3x + 2) cm, and (12 - x) cm, find all possible values of x.      Log On


   

Question 482986: If a triangle has sides of length (2x - 1) cm, (3x + 2) cm, and (12 - x) cm, find all possible values of x.
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
By the angle inequality theorem, the sum of any two sides of a triangle must exceed the third side,
The only numbers which fit here are 2, 3 and 4.
Cleomenius.