Difference between revisions of "2006 UNCO Math Contest II Problems/Problem 5"
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==Solution== | ==Solution== | ||
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Revision as of 16:54, 9 December 2016
Problem
In the figure 
is parallel to 
and also 
is parallel to 
. The area of the larger triangle 
is 
.
The area of the trapezoid 
is 
. Determine the area of triangle 
.
![[asy] draw((0,0)--(1,2)--(4,0)--cycle,black); draw((1/2,1)--(2.5,1)--(2,0),black); MP("A",(4,0),SE);MP("C",(1,2),N);MP("E",(0,0),SW); MP("D",(.5,1),W);MP("B",(2.5,1),NE);MP("F",(2,0),S); [/asy]](http://latex.artofproblemsolving.com/8/b/c/8bc13e1d9d8740bc4f6f48868cdc693e5c1b390c.png)
Solution
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See Also
| 2006 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 | ||
