Chapter 6, Problem 18CR

To determine

To complete: the given statement using $<,=,\text{ or }>$ .

Answer to Problem 18CR

  $TB\cong TC$ and $m\angle 3>m\angle 4$ , then $AB\underset{\_}{\text{ > }}AC.$

Explanation of Solution

Given information:

The given figure is as follows:

  

The given statement is “ $TB\cong TC$ and $m\angle 3>m\angle 4$ , then $AB\underset{\_}{}AC.$

The side opposite to largest angle is the greater than the side opposite to the smallest angle in a triangle.

The side opposite to “ $\angle 3$ is “ $AB$ ”.

The side opposite to “ $\angle 4$ ” is “ $AC$ ”.

Since $m\angle 3>m\angle 4$ ,

  $\Rightarrow AB>AC.$

Hence, $AB\underset{\_}{\text{ > }}AC.$