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

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1 Answers

A
Alycia Zemlak

Feb 20, 2025

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... Show More

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