### Home > CALC > Chapter 7 > Lesson 7.1.3 > Problem 7-33

7-33.

A right triangle has a fixed hypotenuse of length

Sketch the triangle and label the known information.

The question is asking about the rate-of-change of area.

So start with an area equation:

Notice that there are two variables. It would be easier to have only one.

Use the Pythagorean Theorem to find the length of the height in terms of .

Then rewrite the function with only one variable:

the rate that the area is changing.

Substitute in all values that you know, including the specific base length,