Another Isosceles Triangle Problem

[Bashyboy]

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?

 

[Dick]

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?

 

[Bashyboy]

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

 

[Dick]

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 $\angle RST$.

 

[Bashyboy]

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.