Bithagoras II (en)
From point (X), the perpendiculars da , db, and dc 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.
You can discover various relationships between these quantities. Drag X and observe what happens.
How can these relationships be expressed as an equation or inequality?
Dieser Ansatz ist von der Figur zum Satz von Erdös-Mordell inspiriert.