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Ed is parallel to ab..can someone help me with the proof towards this?

Ed is parallel to ab..can someone help me with the proof towards this?-example-1

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Answer:

Area_ACD = [AC*CD*sinC]/2

Area_BCE = [BC*CE*sinC]/2

AC*CD = BC*CE (as Thales theorem AC/CE = BC/CD)

Then, Area_ACD = Area_BCE

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