Difference between revisions of "2008 UNCO Math Contest II Problems/Problem 3"
(Created page with "== Problem == A rectangle is inscribed in a square creating four isosceles right triangles. If the total area of these four triangles is <math>200</math>, what is the length of ...") |
Strangeplant (talk | contribs) (i did a thing) |
||
| Line 13: | Line 13: | ||
== Solution == | == Solution == | ||
| − | + | 20 lol | |
== See Also == | == See Also == | ||
Revision as of 14:27, 11 December 2018
Problem
A rectangle is inscribed in a square
creating four isosceles right triangles.
If the total area of these four triangles
is 
, what is the length of the diagonal
of the rectangle?
![[asy] draw((0,0)--(1,0)--(1,1)--(0,1)--cycle,black); draw((0,2/3)--(2/3,0)--(1,1/3)--(1/3,1)--cycle,black); [/asy]](http://latex.artofproblemsolving.com/3/3/e/33e59fc38b33e85160f8d9df01198f561a06c879.png)
Solution
20 lol
See Also
| 2008 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
