Question 392710
I have a diagram. with this information.

A triangle, with a on the bottom left, c on the top middle, and b on the bottom right. line AC = 7 line CB = 8 Line AB = 9. 

The question is.

name the smallest angle, largest angle, and write an inequality comparing all three angles, then list the sides in order from shortest to longest.
<pre><font face = "batangche" color = "indigo" size = 4><b>

{{{drawing(400,400,-2,10,-2,10,
line(0,0,9,0), locate(-.3,0,A), locate(9,0,B), locate(3.9,6.4,C), 
line(9,0,7cos(1.019479358), 7sin(1.019479358)),
locate(4.5,0,9), locate(6.5,3.5,8), locate(1.5,3.5,7),

line(0,0,7cos(1.019479358), 7sin(1.019479358))  )}}} 

All you have to know is that 

The angle across the triangle from the longest side is the largest angle.
The angle across the triangle from the middle-sized side is the middle-sized angle.
The angle across the triangle from the shortest side is the  smallest angle.

Since

7 < 8 < 9

then angles

B < A < C

because opposite sides

AC < CB < AB 

Edwin</pre>