SOLUTION: if the sides of a triangle have lengths of x, 2x+1, and 10, which of the following is a possible value for x? A. 1 B. 3 C. 6 D. 9 E. 11

Question 478269: if the sides of a triangle have lengths of x, 2x+1, and 10, which of the following is a possible value for x?
A. 1
B. 3
C. 6
D. 9
E. 11
Found 2 solutions by cleomenius, MathLover1:
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the third side.
This eliminates 1, 3, 9, and 11.
The only possible answer listed is 6.
Cleomenius.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Theorem: The sum of the lengths of any two sides of a triangle must be greater than the third side.

or

...........

or

since and , the answer is:
C. 6

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