First download the Excel file
Find sets of three numbers so that the sum of the squares of the
first two is equal to the square of the third, as in (3, 4, 5) or
(5, 12, 13).
for problems with two independent variables
create a table of all possible first and second number combinations
to see which of these provide integer results for the square root
of the sum of their squares.
The formula for the first cell is =SQRT(B$1^2+$A2^2) which is then
copied across the chosen range. Then look for cells in which this
formula returns integer values. Conditional formatting helps
identify the values of interest. The colour change occurs when a
cell value is exactly equal to its integer part. The red type on a
tan background are genuine integers, and are the result of the
conditional formatting being activated. The other integers in the
sheet are caused by Excel rounding the display value to 2 digits
even though the held value may have many decimal places, as
increasing the width of a column would reveal.
Look at the 10% Zoom View and account for the patterns you