MAT131 Fall 2025 Notes
mathnstuff.com/math/calc/MAT131fa25/c.13.5.htm
© 10/24/2025, A2, Agnes Azzolino
13.5, Q4, due at 11:59 PM
calc.fa25

Welcome to Calc I!

Write & Answer Another Quiz
Hi,
    Today write and answer WITH PAPER & PENCIL, NO TYPING, NO TYPE, BY HAND ONLY one problem using Pythagorean Triangles & Heronian Triangles.
   
    Contact me through the pink box on www.mathnstuff.com/math/math.htm
 
    Stay safe, A2
Here is your quiz:
Create and solve, SHOWING HAND-WRITTEN SOLUTION WORK, one related rate problem and solution with the following constraints.
1. Let it be about a right triangle situation. [Other situations are listed on page 969 of the text.]
2. The hypotenuse is to remain constant.
3. The solution must be the rate of change of one of the legs or answer a question requiring the rate of change of a leg computation to answer the question.
4. A labeled diagram is required in your solution.
5. Use your own paper. Scan it or take a picture with your phone. Rename the file with ###.First.Last.Q4. Attach it to an email to calc@mathnstuff.com .
 
You might:
a. See page 179, chapter 4, section 2, problem # 9, in the text because it provides a sample of what you might write, but be creative. Let a leg shrink. Ask if the prince can raise the ladder fast enough to reach Princess Rapunzel before her "captor" shows up.
b. The image at the right of this page is from Heronian Pythagorean Triangles and it provides some right triangles with natural number sides should you wish to use those dimensions.
  You might with to compute "nice sides" using the spreadsheet or sketchpad:
Pythagorean Triangles & Heronian Triangles
elevation.gsp   -- related rates of right triangles using either figure or parameter theta to adjust angle and rates
 
Quiz/Test Instructions