Another Isosceles Triangle Problem

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Homework Help Overview

The discussion revolves around an isosceles triangle problem involving triangle RST, where the sides RS and RT are equal. Participants are exploring the identification of the base and the vertex angle of the triangle.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to identify the base and vertex angle of the triangle but expresses uncertainty about the proper notation for naming the segments and angles. Other participants encourage drawing the triangle and labeling it to clarify the relationships between the sides and angles.

Discussion Status

Participants are actively engaging in the discussion, with some clarifying their previous statements and reaching a tentative agreement on the identification of the base and vertex angle. There is an acknowledgment of earlier mistakes, and the conversation appears to be moving towards a clearer understanding of the problem.

Contextual Notes

The original poster mentions using a geometry textbook without an answer key, which may contribute to their uncertainty and the need for clarification in the discussion.

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Homework Statement


In isosceles triangle RST, RS = RT. Which side of the triangle is the base? Which angle is the vertex angle?



Homework Equations





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?
 
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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?
 
My goodness, I have made a few good blunders in these past two posts. It should actually be RS = ST
 
Bashyboy said:
My goodness, I have made a few good blunders in these past two posts. It should actually be RS = ST

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].
 
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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