Question

AB垂直BD于点B,ED垂直BD于点D,AE交BD于点C,且BC=DC。求证AB=ED

Answer 1

得出角B=角D=90度，对顶角ACB=DCE，BC=DC，说明这两个三角形是对等的，所以AB=ED

Answer 2

∵AB垂直BD于点B.ED垂直BD于点D.AE交BD于点C
∴∠CBA=∠CDE=90°，∠DCE=∠BCA
又∵BC=DC
∴△ABC≌△EDC(ASA)
∴AB=ED