Difference between revisions of "2006 AIME I Problems/Problem 1"
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== See also == | == See also == | ||
* [[2006 AIME I Problems]] | * [[2006 AIME I Problems]] | ||
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[[Category:Intermediate Geometry Problems]] | [[Category:Intermediate Geometry Problems]] | ||
Revision as of 16:14, 18 July 2006
Problem
In quadrilateral 
is a right angle, diagonal 
is perpendicular to 
and 
Find the perimeter of 
Solution
From the problem statement, we construct the following diagram:
Using the Pythagorean Theorem:
Substituting 
for 
:
Plugging in the given information:
So the perimeter is:
