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equal segments, altitudes and perpendicular related

Source: Switzerland - Swiss TST 2003 p2

February 18, 2020

equal segmentsaltitudesperpendiculargeometry

Problem Statement

In an acute-angled triangle

ABC, E

and

F

are the feet of the altitudes from

B

and

C

, and

G

and

H

are the projections of

B

and

C

EF

, respectively. Prove that

HE = FG