SOLUTION: In ΔABC ,D is the midpoint of BC. If Δ ABD~ΔACD, then prove that AB=AC.

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Question 1109040: In ΔABC ,D is the midpoint of BC. If Δ ABD~ΔACD, then prove that AB=AC.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Since the triangles are congruent, their corresponding sides are congruent. 


     In this problem (in this post), the condition that D is the midpoint of BC, is EXCESSIVE and UNNECESSARY.  

     It is not used in the solution.


     The condition  "Δ ABD~ΔACD"  OVERPOSES the condition that "D is the midpoint of BC".


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