Difference between revisions of "2006 iTest Problems/Problem U7"
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| + | First, label the other leg <math>x</math> and the hypotenuse <math>y</math>. To minimize | ||
Revision as of 21:37, 17 November 2019
Problem
Let 
. Triangle 
has integer side lengths, including 
, and a right angle, 
. Let 
and 
denote the inradius and semiperimeter of respectively. Find the perimeter of the triangle ABC which minimizes 
.
Solution
First, label the other leg 
and the hypotenuse 
. To minimize
