2006 AMC 10B Problems/Problem 10
Problem
In a triangle with integer side lengths, one side is three times as long as a second side, and the length of the third side is . What is the greatest possible perimeter of the triangle?
Solution
Let be the length of the first side.
The lengths of the sides are: , , and .
By the Triangle Inequality,
The greatest integer satisfying this inequality is .
So the greatest possible perimeter is
See Also
2006 AMC 10B (Problems • Answer Key • Resources) | ||
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