Chapter 12, Problem 5CUR

To determine

To check:Whether the given statement is true or false.

Answer to Problem 5CUR

Thegiven statement is false.

Explanation of Solution

Given information:The given statement is “If right $\Delta JEH$ has hypotenuse $\overline{JE}$ , then $\tan J=\frac{JH}{EH}$ ”.

Calculation:

It is given that the $\Delta JEH$ is a right angle has hypotenuse $\overline{JE}$ .

  

From the above figureit can be concluded that perpendicular is $EH$ andbase is $JH$ .

The ratio of tangent function is:

  $\begin{array}{c}\tan J=\frac{\text{Perpendicular}}{\text{Base}}\\ =\frac{EH}{JH}\end{array}$

Therefore, the given statement is false.