Chapter 8.2, Problem 3MRE

To determine

To Fill: Fill in the blanks to make statement meaningful.

Answer to Problem 3MRE

The final answer is $AB+BC>AC$

Explanation of Solution

Given information: We have given a triangle ABC where $AB+BC\underset{\_}{?}AC$

We know that a triangle ABC is possible only when sum of any two sides must be greater than third sides.

So, we must have $AB+BC>AC$

Therefore, for $AB>BC\Rightarrow m\angle C>m\angle A$