Posted by **Austin** on Thursday, March 1, 2012 at 9:11pm.

name the integer values of x that form a triangle with 12-x, 12, 12+x

- Geometry -
**MathMate**, Thursday, March 1, 2012 at 9:58pm
Any side of a triangle must be positive:

12-x>0

x<12

The sum of any two sides must be greater than the third. In this case,

12-x + 12 > 12+x

=>

24-x > 12 + x

=>

x < 6

Also,

12+12+x > 12-x

2x>-12

x>-6

Therefore the conditions are that

-6<x<6

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