How to join a line and shape... to get rid of pointy corners

[DigitalChickster]

Hi all! I'm trying to draw simple shapes that look like books lined up. I start with a rectangle (as the spine), then add some lines to make it look like a book. My problem  is that I have a 3pt stroke on all the shapes and lines. So I'm getting some weird, pointy corners. I can't figure out how to join a line to a rectangle shape (now a trapezoid). I'm attaching a picture to show you how it looks when I draw it (top) and how it looks when I view it as outlines.

[Monika Gause · Accepted solution]

you can't join 3 segments into a point . Apply round corners instead.

[Theresa J]

You can’t join 3 endpoints but you can join the lines that make up the bottom V shapes. I would temporarily hide the two vertical lines in the center. Then use the direct select tool to select the end points that come together at the bottom of the V shape. Use Command(mac) or Control(PC) ‘J’ to join the points.

[tromboniator]

Results can also depend on how you draw the shapes:

[sishamIAGD]

You could always do this...