MathDB
SMT 2022 Geometry Tiebreaker #3

Source:

April 1, 2023

Problem Statement

Let △ABC\triangle ABC be a triangle with BA<ACBA<AC, BC=10BC=10, and BA=8BA=8. Let HH be the orthocenter of △ABC\triangle ABC. Let FF be the point on segment ACAC such that BF=8BF=8. Let TT be the point of intersection of FHFH and the extension of line BCBC. Suppose that BT=8BT=8. Find the area of △ABC\triangle ABC.
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