MathDB
2014 Geometry #2

Source:

July 12, 2022
2014Geometry Test

Problem Statement

Let ABCABC be a triangle with sides AB=19AB=19, BC=21BC=21, and AC=20AC=20. Let ω\omega be the incircle of ABCABC with center II. Extend BIBI so that it intersects ACAC at EE. If ω\omega is tangent to ACAC at the point DD, then compute the length of DEDE.