Chapter 6.3, Problem 5ST1

To determine

To find: the inverse of the statement is true or false.

Answer to Problem 5ST1

The inverse of this statement is False.

Explanation of Solution

Given information:

If $\Delta ABC$ is acute, then $m\angle C=90°$

Calculation:

Consider the following statement:

If $\Delta ABC$ is acute, then $m\angle C=90°$

Write the inverse of this statement.

Also inverse of this statement is:

If $\Delta ABC$ is not acute, then $m\angle C=90°$ .

If If $\Delta ABC$ is acute, then it can be either obtuse or a right angled $△$ .

If it were a right angled $△$ , then $m\angle C$ can be $90°$ .

However, if it were an obtuse angled $△$ , then $m\angle C\ne 90°$ .

Hence this statement is a False.

Therefore, the inverse of this statement is False.