Pythagorean triples are particularly useful when solving right triangle problems, since they are whole number values that make the Pythagorean Theorem true.

Interactive exercise. Assistance may be required.

Source: Robert Simms' Web Corner

 Enter small whole number values into the boxes for s and t, and click on the button that says "Compute x, y, and z." Record several values of x, y, and z in a table like the one shown below. What patterns, if any, do you notice?
x
y
z
 
     
     
     
     

In your notes, answer the following questions: