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

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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) About Me  (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) About Me  (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?
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12 - 7 < third side length < 7 + 12.

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

The triangle inequality.