Welcome! Use this file to explore and understand the [b]Distance Between Two[br]Points[/b] using a right-angled triangle and the Pythagorean Theorem.[br][b]Buttons:[/b] [list=1][*][color=#00ff00][b]Solution Steps [/b] [/color]– Shows the step-by-step \ proof of the distance formula. [/*][*][color=#ff0000][b]Reset (Red)[/b] [/color]– Resets the construction.[/*][*][color=#ff00ff][b]Back Solution[/b][/color][b] [/b] – Goes back one step in the solution.[/*][/list][b] Sliders:[/b][list=1][*][b][color=#666666]Perpendicular Slider[/color][/b] – Draws a perpendicular from point A to line BD. [/*][*][b][color=#ff00ff]Right Angle Translate Slider[/color][/b] – Shows the right angle clearly in triangle AEB.[/*][/list][b]Goal: [/b]Understand[br]how AB=[img width=168,height=23]data:image/png;base64,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[/img]  is[br]derived using triangle AEB.[br][b]Happy Learning![/b][br][b]By: Rakesh Ghimire[/b][br][br][br]