2015 AMC 8 Problems/Problem 8
Contents
[hide]Problem
What is the smallest whole number larger than the perimeter of any triangle with a side of length and a side of length ?
Solution
We know from the Triangle Inequality that the last side, , fulfills . Adding to both sides of the inequality, we get , and because is the perimeter of our triangle, is our answer.
Solution 2
, fulfills , meaning that s<24. The greatest value of s can be 23. 23+5+19 is 47. 48 is our nearest answer choice so its .-TheNerdWhoIsNerdy.
Video Solution (HOW TO THINK CRITICALLY!!!)
~Education, the Study of Everything
Video Solution
~savannahsolver
See Also
2015 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.