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(AC)^2 - (CE)^2 = (AB)^2 - (EB)^2

Source: 2009 Puerto Rico Team Selection Test p3

October 23, 2021
geometryaltitude

Problem Statement

On an arbitrary triangle ABC ABC let E E be a point on the height from A A. Prove that (AC)2−(CE)2=(AB)2−(EB)2 (AC)^2 - (CE)^2 = (AB)^2 - (EB)^2.
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