Difference between revisions of "2009 UNCO Math Contest II Problems/Problem 5"
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m (moved 2009 UNC Math Contest II Problems/Problem 5 to 2009 UNCO Math Contest II Problems/Problem 5: disambiguation of University of Northern Colorado with University of North Carolina) |
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Revision as of 21:13, 19 October 2014
Problem
The two large isosceles right triangles are congruent.
If the area of the inscribed square 
is 
square
units, what is the area of the inscribed square 
?
![[asy] draw((0,0)--(1,0)--(0,1)--cycle,black); draw((0,0)--(1/2,0)--(1/2,1/2)--(0,1/2)--cycle,black); MP("A",(1/4,1/8),N); draw((2,0)--(3,0)--(2,1)--cycle,black); draw((2+1/3,0)--(2+2/3,1/3)--(2+1/3,2/3)--(2,1/3)--cycle,black); MP("B",(2+1/3,1/8),N); [/asy]](http://latex.artofproblemsolving.com/2/5/3/2531f32f5e9af71cd7c0f6b81eb97a0c18905b18.png)
