Posted by **jenny** on Saturday, June 12, 2010 at 6:25pm.

In triangle abc, point B is on segment ab, and point E is on segment bc such that segment de is parallel to segment ac if db=2, da=7, de=3, what is the length of segment ac?

- geometry-typo -
**MathMate**, Saturday, June 12, 2010 at 7:46pm
"In triangle abc, point **D** is on segment ab,...."

If you draw the diagram according to the corrected information, you will find that triangles BDE and BAC are similar.

Since AC:DE = AB:DB, therefore

AC=AB*DE/DB=(7+2)*3/2=13.5

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