2019 AMC 12B Problems/Problem 9
Problem
For how many integral values of 
can a triangle of positive area be formed having side lengths 
?
Solution
The lower bound for x would be x=4, where the sides of the triangle would be (2,1,3). The upper bound for x would be x=4, where the sides of the triangle would be (6,3,3). The number of integers strictly between 4 and 64 is 64 - 4 - 1 = 59
-DrJoyo
See Also
| 2019 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 8 |
Followed by Problem 10 |
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| All AMC 12 Problems and Solutions | |
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