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WOLFRAM|DEMONSTRATIONS PROJECT

Area of a Quadrilateral within a Triangle

x coordinate of E
6.3
coordinates
solution
Let
ΔABC
be a triangle and let
E
and
F
be points on
BC
and
AC
, respectively. Let
D=AEBF
. You can calculate the area of the triangle
|ΔABC|
by checking "coordinates" to find the base and height. You can drag the points
B
and
C
. Suppose that
|ΔADF|/|ΔABD|=3/7
and that
|ΔADF|/|ΔBDE|=3/7
.
What is
|ECFD|/|ΔABC|
? See Details for the solution.
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