2009 UNCO Math Contest II Problems/Problem 5
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)
Solution
See also
| 2009 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| 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 | ||
