SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 17 inches and a second side that is 1 inch less than t
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Question 1016849: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 17 inches and a second side that is 1 inch less than twice the third side, what are the possible lengths for the second and third sides?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let , and
Case 1: doesn't give any insight, since it reduces to , which is always true.
Case 2: will lead, upon the proper substitution, to , or
Case 3: leads to , or
, or
Hence, .
Now , and so substitution into the last inequality and simplifying yields
.
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