SOLUTION: A triangle has two sides of lengths 7 and 12. What value could be the length of the third side be?

Question 1047710: A triangle has two sides of lengths 7 and 12. What value could be the length of the third side be?
Found 2 solutions by solver91311, ikleyn:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let represent the measure of the third side. Then:

Note that the interval of values does NOT include the endpoints. You can get as close to either end as you like but never the actual endpoint value.

John

My calculator said it, I believe it, that settles it

Answer by ikleyn(52814) (Show Source): You can put this solution on YOUR website!
.
A triangle has two sides of lengths 7 and 12. What value could be the length of the third side be?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

12 - 7 < third side length < 7 + 12.

In other words, 5 < third side length < 19.

The triangle inequality.

RELATED QUESTIONS
A triangle has two sides of lengths 7 and 9. What value could the length of the third... (answered by MathLover1)
A triangle has two sides of lengths 4 and 7. what value could the length of the third... (answered by ikleyn,MathTherapy,Alan3354)
A triangle has two sides of lengths 7 and 12 what value could the third side be? (answered by cleomenius,richard1234,MathTherapy)
A triangle has two sides of length 7 and 9. What value could the length of the third side (answered by edjones,CharlesG2,drk)
A triangle has two sides of length 4 and 7. What value could the length of the third side (answered by stanbon)
a triangle has two sides of length 4 and 7. What value could the length of the third side (answered by josmiceli)
A triangle has two sides of length 7 and 9. What value could the length of the third side (answered by Alan3354)
A triangle has two sides of lengths 5 and 12. What value could the length of the third... (answered by Boreal)
A triangle has two sides of length 10 and 14. What value could the length of the third... (answered by Alan3354,Edwin McCravy)