SOLUTION: Given: Triangle ABC is isosceles and segment CD bisects angle ACB. Prove; D is the midpoint of segment AB

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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(53938) About Me  (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.