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Junior Regional Olympiad - FBH 2017 Grade 8 Problem 5

Source:

September 20, 2018

geometrymidpointright angle

Problem Statement

Points

K

and

L

are on side

AB

of triangle

ABC

such that

KL=BC

and

AK=LB

. Let

M

be a midpoint of

AC

. Prove that

\angle KML = 90^{\circ}