[tex]\text{In problema exista o greseala de tipar: }[HG]\equiv[FA]".\\
\text{Corect este: }"[HE]\equiv[FA]"\\\\
\text{Rezolvare: (Vezi fisierul atasat.)}\\\\
\In triunghiurile: }~\Delta AHF~ \text{si}~\Delta HAE~~\text{avem:}\\
AH = \text{latura comuna}\\
AF \equiv HE\\
\ \textless \ FAH = \ \textless \ AHE = 90^o\\\\
\Longrightarrow~~~\text{Cazul LUL de congruenta.}\\
\Longrightarrow~~~\Delta AHF \equiv\Delta HAE.\\\\
\Longrightarrow~~~\text{Medianele ipotenuzei sunt congruente.}\\
\Longrightarrow~~~\boxed{[AM] \equiv [HT]}[/tex]
