MathDB
2015 Guts #27

Source:

August 1, 2022
2015Guts Test

Problem Statement

In triangle ABCABC, DD is a point on ABAB between AA and BB, EE is a point on ACAC between AA and CC, and FF is a point on BCBC between BB and CC such that AFAF, BEBE, and CDCD all meet inside △ABC\triangle ABC at a point GG. Given that the area of △ABC\triangle ABC is 1515, the area of △ABE\triangle ABE is 55, and the area of △ACD\triangle ACD is 1010, compute the area of △ABF\triangle ABF.
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