MathDB

8th ibmo - mexico 1993/q4.

Source: Spanish Communities

May 7, 2006

trigonometrygeometry proposedgeometry

Problem Statement

Let

ABC

be an equilateral triangle and

\Gamma

its incircle. If

D

and

E

are points on the segments

AB

and

AC

such that

DE

is tangent to

\Gamma

, show that

\frac{AD}{DB}+\frac{AE}{EC}=1

.

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