A. write a function that represents the perimeter p of the triangle.

p=

b. identify the independent and dependent variables.

the independent variable is __ and the independent variable is

c. describe the domain and range of the function.

the domain is __ the range is

Part a)

Part b) see the explanation

Part c) The domain for h is and the range is

Step-by-step explanation:

Let

h ----> the measure of the third side of triangle

P ---> the perimeter of triangle

Part a) write a function that represents the perimeter P of the triangle

we know that

The perimeter of triangle is equal to the sum of its three length sides

so

Part b) Identify the independent and dependent variables

In this problem

The independent variable or input value is the measure of the third side of triangle h

The dependent variable or output value is the perimeter of triangle P

Part c) Describe the domain and range of the function

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Find the possible measures of h

Applying the Triangle Inequality Theorem

1) ---> --->

2) --->

therefore

The domain for h is the interval (3,23)

Find the range

For h=3 ---->

For h=23 ---->

therefore

The range is the interval (26,46)