MathDB

SMT RMT 2014 Geometry Tiebreaker #2

Source:

October 28, 2022

geometry

Problem Statement

Let

ABC

be a triangle with sides

AB = 19

,

BC = 21

and

AC = 20

. Let

\omega

be the incircle of

ABC

with center

I

. Extend

BI

so that it intersects

AC

at

E

. If

\omega

is tangent to

AC

at the point

D

, then find the length of

DE

.

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