2008 UNCO Math Contest II Problems/Problem 8
Problem
Triangle 
has integer side lengths.
One side is twice the length of a second side.
![[asy] draw((0,0)--(185/16,sqrt(225-(185/16)^2))--(40,0)--cycle,black); MP("A",(0,0),W);MP("C",(185/16,sqrt(225-(185/16)^2)),N);MP("B",(40,0),E); [/asy]](http://latex.artofproblemsolving.com/d/6/e/d6e0cbadcbdd84a96434e27c99b7e125940f4053.png)
(a) If the third side has length 
what is the greatest possible perimeter?
(b) If the third side has length 
what is the greatest possible perimeter?
(c) Now suppose one side is three times the length of a second side and the third side has length
of . What is the maximum perimeter?
(d) Generalize
Solution
See Also
| 2008 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
