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Problem 410: (2006 AMC 10b, 10; 12b 10)
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 15. What is the greatest possible perimeter of the triangle? $\text {(A) } 43 \qquad$ $ \text {(B) } 44 \qquad$ $ \text {(C) } 45 \qquad$ $ \text {(D) } 46 \qquad$ $ \text {(E) } 47$
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Exercise 410: Solution
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 $20$. What is the greatest possible perimeter of the triangle?
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