MathDB
2016 Theme #3: Triangle vertices as points

Source:

November 22, 2016
HMMTgeometryangle bisector

Problem Statement

The three points A,B,CA, B, C form a triangle. AB=4,BC=5,AC=6AB=4, BC=5, AC=6. Let the angle bisector of ∠A\angle A intersect side BCBC at DD. Let the foot of the perpendicular from BB to the angle bisector of ∠A\angle A be EE. Let the line through EE parallel to ACAC meet BCBC at FF. Compute DFDF.
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