SOLUTION: What is the range of whole number measure of the third side of a triangle given the measure of 6 and 19

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Question 549040: What is the range of whole number measure of the third side of a triangle given the measure of 6 and 19
Answer by solver91311(24713) About Me  (Show Source):
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The sum of the measurses of the two shortest sides of a triangle must be strictly greater than the the measure of the longest side.

Assume that 19 is the longest side of the triangle, then the missing side that we can say measures for the sake of discussion, must satisfy the inequality . Which is to say,

Assume that is the longest side of the triangle, then must satisfy the following inequality:

Putting the two together:



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