解:∵?$BE⊥CE$?,?$AD⊥CE$?,
∴?$∠E=∠ADC=90°$?,
∴?$∠EBC+∠BCE=90°.$?
∵?$∠BCE+∠ACD=90°$?,
∴?$∠EBC=∠DCA.$?
?$ $?在?$△CEB$?和?$△ADC$?中,
?$\begin {cases}{∠E=∠ADC}\\{∠EBC=∠DCA}\\{BC=AC}\end {cases}$?
∴?$△CEB≌△ADC(\mathrm {AAS})$?,
∴?$BE=DC$?,?$CE=AD=2.5.$?
∵?$DC=CE-DE$?,?$DE=1.7\ \mathrm {cm}$?,
∴?$DC=2.5-1.7=0.8\ \mathrm {cm}$?,
∴?$BE=0.8\ \mathrm {cm}$?