SOLUTION: The lengths of two sides of a triangle are 5 and 13. the lengths of all three sides are integers. What is the shortest length the Third side could be? What is the longest length th
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Question 888365: The lengths of two sides of a triangle are 5 and 13. the lengths of all three sides are integers. What is the shortest length the Third side could be? What is the longest length the Third side could be? Answer by solver91311(24713) (Show Source):
The triangle inequality states that the sum of the measures of any two sides of a triangle must be strictly greater than the measure of the third side. Hence if the three sides are a, b, and c, the following relationships must be true.
a + b > c
b + c > a
a + c > b
Let a = 5 and b = 13, then by substitution into the first and third inequalities above then solving for c, you can derive the answers to your two questions.
John
My calculator said it, I believe it, that settles it
