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Proof: as shown in the figure ∠ C = 90 ∠ CAD = 30? AC=BC=AD?

Pass through point D as DF⊥BC, and pass through BC at point F.

Pass point d to DE BC, and pass point e to AC.

Know ∞∠CAD = 30...............① ①.

∴DE=? & ampfrac 12; AD=? & ampfrac 12; ............. BC (2)

The quadrilateral DECF is a rectangle.

∴de=cf=&; frac 12; ............... BC (3)

That is, point f is the midpoint of side BC,

namely

DF is perpendicular bisector of BC.

∴CD=BD...................④

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