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| Question 1148445:  Given: Triangle ABC is isosceles and segment CD bisects angle ACB. Prove; D is the midpoint of segment AB
 
 Answer by ikleyn(52879)
      (Show Source): 
You can put this solution on YOUR website! . 
 In a normal geometric language,  this statement says
 
 
 
    In any isosceles triangle, the angle bisector drawn to the base coincides with the median.
 For the proof,  see the lesson
 - An altitude a median and an angle bisector in the isosceles triangle
 in this site.
 
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 Also,  you have this free of charge online textbook on Geometry
 GEOMETRY - YOUR ONLINE TEXTBOOK
 in this site.
 
 The referred lesson is the part of this online textbook under the topic  "Properties of triangles".
 
 
 Save the link to this online textbook together with its description
 
 Free of charge online textbook in GEOMETRY
 https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson
 
 to your archive and use it when it is needed.
 
 
 
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