Copy of Exploring Pythagorean Theorem
Use this applet to discover the converse of the Pythagorean Theorem!
Essential Information
The area for square ABDE is the result of a[math]^2[/math].[br][br]The area for square BCFG is the result of b[math]^2[/math].[br][br]The area for square ACIH is the result of c[math]^2[/math].
1. The total degrees for all 3 interior angles in a triangle add up to:
2. The longest line in a triangle:
Moving the blue dots (vertices) provided in the app will change the triangle and the areas (squares) attached.[br][br]In the table provided, fill in the[b][i] first 3 rows[/i][/b] with examples from the app where a[math]^2[/math] + b[math]^2[/math] [b][i][color=#ff0000]does NOT[/color][/i][/b] equal c[math]^2[/math].[br][br]In the [b][i]last 3 rows[/i][/b], use the app to find examples where a[math]^2[/math] + b[math]^2[/math] [b][i][color=#ff0000]does equal [/color][/i][/b]c[math]^2[/math].
Directions for completing the chart
3. Why does a[math]^2[/math] + b[math]^2[/math] = c[math]^2[/math] work sometimes and NOT other times?