Given triangle ABC and segment DE, if AD =2, DB =3, AE =4 and EC =4, is DE parallel to BC?
See diagram.
The "Triangle Proportionality Theroem" states: If a line is parallel to one side of a triangle and intersects the other two sides in two distinct points, then it separates these sides into segments of proportional length.
So, if , then
Therefore,
Last edited by masters; Dec 16th 2008 at 10:01 AM.
The "Triangle Proportionality Theroem" states: If a line is parallel to one side of a triangle and intersects the other two sides in two distinct points, then it separates these sides into segments of proportional length.
So, if , then
Therefore,
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