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Another Isosceles Triangle Problem

  1. Feb 22, 2012 #1
    1. The problem statement, all variables and given/known data
    In isosceles triangle RST, RS = RT. Which side of the triangle is the base? Which angle is the vertex angle?



    2. Relevant equations



    3. The attempt at a solution
    I believe the base is RT, and the vertex angle is S. I don't know the proper notation to name the line segment and the angle, though. How would you write the answer properly?
     
  2. jcsd
  3. Feb 22, 2012 #2

    Dick

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    Why do you think that? Draw a triangle and label the vertices R, S and T. RS is the segment connecting R and S. RT is the segment connecting R and T. What's the segment that is the base?
     
  4. Feb 23, 2012 #3
    My goodness, I have made a few good blunders in these past two posts. It should actually be RS = ST
     
  5. Feb 23, 2012 #4

    Dick

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    Ok, then I'll agree with you. Base is RT and the vertex angle is the angle at vertex S. Sometimes you'll see that written as [itex]\angle RST[/itex].
     
  6. Feb 23, 2012 #5
    Thank you so much. Sorry for all of the posts--I have a great geometry textbook I found, but no answer key to accompany it.
     
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