Difference between revisions of "2006 AIME I Problems/Problem 1"
m (→See also) |
m (→See also: box) |
||
Line 29: | Line 29: | ||
== See also == | == See also == | ||
− | + | {{AIME box|year=2006|n=I|before=First Question|num-a=2}} | |
− | |||
− | |||
[[Category:Intermediate Geometry Problems]] | [[Category:Intermediate Geometry Problems]] |
Revision as of 21:21, 11 March 2007
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:
The answer is 084.
See also
2006 AIME I (Problems • Answer Key • Resources) | ||
Preceded by First Question |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |