As shown in the figure, there is a right triangle paper with two right angles AC = 8cm, BC = 6cm, As shown in the figure, there is a right triangle paper with two right sides AC = 8cm and BC = 6cm. Fold the right side BC along BD so that the side BC falls on the hypotenuse AB and the point C coincides with the point E, then CD =___________ .

As shown in the figure, there is a right triangle paper with two right angles AC = 8cm, BC = 6cm, As shown in the figure, there is a right triangle paper with two right sides AC = 8cm and BC = 6cm. Fold the right side BC along BD so that the side BC falls on the hypotenuse AB and the point C coincides with the point E, then CD =___________ .


As shown in the figure, (compressed, do not save, click to view directly) in the right triangle ABC, from the Pythagorean theorem AC = 10cm, ∵△ CDE as △ BDC folded ∵△ CDE ≌△ BDC, ∵ CE = CB = 6cm ∵ AE = ac-ce = 10-6 = 4cm, and