Point D is the midpoint of side AB, point E is the midpoint of side BC of triangle ABC. It is known that AD = CE.

Point D is the midpoint of side AB, point E is the midpoint of side BC of triangle ABC. It is known that AD = CE. Prove that triangles BDC and BEA are equal.

Triangles are equal if at least two of their sides coincide;

If AD = CE, then AD = DB = BE = EC and AB = BC;

Since DB = BE and AB = BC – triangles are equal.



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