2005 AMC 10A Problems/Problem 25
Revision as of 13:26, 2 August 2006 by Xantos C. Guin (talk | contribs) (added problem and solution)
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
The area of a triangle is .
Using this formula:
Since the area of is equal to the area of
minus the area of
,
.
Therefore, the desired ratio is