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

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: In ΔABC ,D is the midpoint of BC. If Δ ABD~ΔACD, then prove that AB=AC.       Log On


   

Question 1109040: In ΔABC ,D is the midpoint of BC. If Δ ABD~ΔACD, then prove that AB=AC.
Answer by ikleyn(52900) About Me  (Show Source):
You can put this solution on YOUR website!
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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".