A triangular geometry problem: 3

Geometry Level 3

As shown in the diagram (which is not to scale!) , line CD is perpendicular to AB from C, and point E lies on CD. Under the assumption of AC>CB, compare the length of AC-CB and AE-EB (regarding their sizes. For more triangular geometry problems please search "a triangular geometry problem".

It depends on the dimensions of triangle AE-EB<AC-CB AE-EB>AC-CB AE-EB=AC-CB

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