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Angle Bisectors

Source: 2005 Swedish Mathematical Competition #3

January 6, 2018
Swedengeometryangle bisector

Problem Statement

In a triangle ABCABC the bisectors of angles AA and CC meet the opposite sides at DD and EE respectively. Show that if the angle at BB is greater than 60āˆ˜60^\circ, then AE+CD<ACAE +CD <AC.
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