2006 iTest Problems/Problem U7: Difference between revisions
Created page with "==Problem== Let <math>T = TNFTPP</math>. Triangle <math>ABC</math> has integer side lengths, including <math>BC = 100T - 4</math>, and a right angle, <math>\angle A..." |
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==Solution== | ==Solution== | ||
First, label the other leg <math>x</math> and the hypotenuse <math>y</math>. To minimize | |||
Revision as of 20:37, 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
