In the diagram below, we have BC ll DE, AB=8, BD=6, and AE=12. Find AC.

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https://latex.artofproblemsolving.com/9/2/1/9212f411dcac832e35f8daac17983d9c4ea9e07a.png

It's kind of dark. I am not sure how to solve, please do not give me the answer, I only want an explanation of how to solve this.

Guest May 11, 2020

CPhill · Answer 1 · 2020-05-11T05:47:57

Since BC is parallel to DE, then BC splits the sides in equal proportions.....thus we have that

AB / AD = AC /AE

Note that AD = AB + BD = 6 + 8 = 14....so we have

8 / 14 = AC / 12

4 / 7 = AC /12

Can you take it from here ????