Chapter 6, Problem 15CR

To determine

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

Answer to Problem 15CR

  $BT>CT.$

Explanation of Solution

Given information:

The given figure is as follows:

  

The given statement is “ $\overline{AB}\cong \overline{AC}$ and $m\angle 1>m\angle 2$ , then $BT\underset{\_}{}CT.$

Concept used:

The sideopposite to largest angle is greater than the side opposite to smallest angle of the

triangle.

Calculation:

The side opposite to angle $m\angle 1$ is $BT$

The side opposite to angle $m\angle 2$ is $CT$

Consider $m\angle 1>m\angle 2$

  $\Rightarrow BT>CT$

Hence, $BT\underset{\_}{\text{ > }}CT.$