Example 2 - Numerical approach
GeoGebra
Using spreadsheet - table
We use the point C (base, height) and the point S(base, area). By moving the slider the coordinates of C and S fill the table. We can read the base and the height giving maximal area from the table.
Here the screencast with the approach shown in GeoGebra is presented.
Solution with TI-Nspire™
See here .
Other approaches