In ∆ABC, angle b=angle c ,prove ac line segment=ab line segment
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5
Answer:
In Triangle ABC we have :-
∠B = ∠C
AC = AB ( sides opposite to equal angles are equal )
AE + EC = AD + DB
AE + CE = AD + BD
AE + CE = AD + CE ( BD = CE)
AE = AD
Thus we are having :-
AD = AE and BD = CE
Therefore, AD/BD = AE/CE
AD/DB = AE/EC
DE // BC ( By converse of Thales Theorem )
\huge{\boxed{\sf{HENCE\:PROVED!}}}
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DE || BC
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