SOLUTION: A triangle has two sides that are 4 inches and 10 inches. What could be the length of the third side?

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Question 1133323: A triangle has two sides that are 4 inches and 10 inches. What could be the length of the third side?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, the length of third side

Triangle Inequality Theorem: system%284%2B10%3Ex%2Cx%2B4%3E10%2Cx%2B10%3E4%29

Find what makes sense.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
According to triangle inequalities, the third side must be SHORTER than the sum of the two other sides  4 + 10 = 14 inches


and LONGER than the difference of the other two sides  10 - 4 = 6 inches.


          Thus       6 inches < third side length < 14 inches.


Solved, answered, explained and completed.