[size=200][size=150]From point (X), the perpendiculars d[sub]a[/sub] , d[sub]b[/sub], and d[sub]c[/sub] are drawn to the sides of the right-angled triangle ABC. These perpendiculars divide the sides a, b, and c, respectively. The segments XA, XB, and XC connecting X to the vertices are also shown.[br]You can discover various relationships between these quantities. Drag X and observe what happens. [br]How can these relationships be expressed as an equation or inequality?[/size][/size]

[size=150]Dieser Ansatz ist von der Figur zum [b]Satz von Erdös-Mordell [/b]inspiriert.[/size]