Converse Pythagorean Theorem
Grab and move one of the large blue points to change the triangle.
Be sure the largest side is the one with the [color=#ff0000][b]RED[/b][color=rgb(51, 51, 51)] measurement![/color][/color][br][list=1][*][color=#ff0000][color=rgb(51, 51, 51)]Classify the triangle as acute, obtuse, or right.[/color][/color][/*][*][color=#ff0000][color=rgb(51, 51, 51)]Enter the side measurements into a chart like the one below.[/color][/color][/*][*][color=#ff0000][color=rgb(51, 51, 51)]Calculate A[sup]2[/sup] + B[sup]2[/sup] and C[sup]2[/sup].[/color][/color][/*][*][color=#ff0000][color=rgb(51, 51, 51)]Create different triangles to complete the chart.[/color][/color][/*][/list]
Record data in this chart.
Do any of your triangles meet the requirements of the Pythagorean Theorem?
What do you notice about the triangles where c[sup]2[/sup] < a[sup]2[/sup] + b[sup]2[/sup] ?
What do you notice about the triangles where c[sup]2[/sup] > a[sup]2[/sup] + b[sup]2[/sup] ?
Lab Activity - Converse Pythagorean Theorem
Construction Notes - Converse Pythagorean Theorem
