2008 UNCO Math Contest II Problems/Problem 8
Problem
Triangle has integer side lengths. One side is twice the length of a second side.
(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
a) 157 b) 4n - 3 c) 116 d) Given that triangle ABC has integer side lengths and that one side is times as long as the second, the maximum perimeter given third side, n, is
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 |