Question

Prove that the Pedal triangle of an equilateral triangle is also an equilateral triangle.​

Answer 1

Answer:

refer to the attachment ☝

Answer 2

Answer:

When ΔABC is equilateral, then the medians are the perpendicular bisectors of each side. Thus, we know that R, S, and T are the midpoints of each side. (by the midpoint theorem). Hence , which shows us that the pedal triangle is equilateral!