Difference between revisions of "2009 UNCO Math Contest II Problems/Problem 5"

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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== See also ==
 
== See also ==
{{UNC Math Contest box|year=2009|n=II|num-b=4|num-a=6}}
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{{UNCO Math Contest box|year=2009|n=II|num-b=4|num-a=6}}
  
 
[[Category:Introductory Geometry Problems]]
 
[[Category:Introductory Geometry Problems]]

Revision as of 21:28, 19 October 2014

Problem

The two large isosceles right triangles are congruent. If the area of the inscribed square $A$ is $225$ square units, what is the area of the inscribed square $B$?

[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]

Solution

See also

2009 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions
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