Consider circle O. If AE = 7, EC = 2, and BE = 4, what is ED?

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1 Answer

  • We know that ∆AEB is similar to ∆DEC.

    Thus, AE and BE are proportional to DE and CE, respectively.

    Since we know that the triangles are similar and that BE = 4 and CE = 2, we can infer that each side ∆AEB is twice as large as its counterpart in ∆DEC.

    We know that AE = 7; therefore, its corresponding side, ED, must be half that length.

    Therefore, ED = 3.5

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