Set window back color, show msg, and OK button. Sum of Three Segments Show that the sum of three perpendicular line segments drawn through a point within an equilateral triangle are of constant length. What to Try ABC is an equilateral triangle.
P is a point inside the triangle.
Draw three line segments PD, PE, and PF perpendicular to BC, CA, and AB respectively. P inside the triangle. How to Use the Applet Drag the red point inside the triangle. Drag the red point on the side. Click here for the answer.