Difference between revisions of "2005 AMC 10A Problems/Problem 25"
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Revision as of 20:47, 11 April 2013
Problem
In we have
,
, and
. Points
and
are on
and
respectively, with
and
. What is the ratio of the area of triangle
to the area of the quadrilateral
?
Solution
Using this formula:
Since the area of is equal to the area of
minus the area of
,
.
Therefore, the desired ratio is