MathDB

Equal distance from the Incenter

Source: 239 2009 J5

July 29, 2020

geometryincenter

Problem Statement

On the sides

AB, BC

and

CA

of triangle

ABC

, points

K, L

and

M

are selected, respectively, such that

AK = AM

and

BK = BL

. If

\angle{MLB} = \angle{CAB}

, Prove that

ML = KI

, where

I

is the incenter of triangle

CML

.

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