∵AC=BD,∴AB-AC=AB-BD,即BC=AD,∵AB=10cm,AC=BD=8cm,∴AD=10-8=2cm,∵M、N分别是线段AC、AD的中点,∴AN= 1 2 AD=1cm,AM=4cm,∴MN=AM-AN=4-1=3cm.故选A.