GRE Quant Flashcards Group 9 Quiz 15th question

The last question in the quiz is

The explanation given by greg is


But if you see that the height of ABC is AB and the height of BEC is CF, it’s nowhere mentioned that these two are equal, hence I thought D must be the answer. Please correct me if I am wrong…

It may be easier to drop the perpendicular from E instead of C to show that the heights are the same.

Yes that would be more clear, Thank you