(Solved): The three small circles are tangent to a common line and their centers are connected by an equilate ...

The three small circles are tangent to a common line and their centers are connected by an equilateral trianglegkp. The triangle \( k o p \) is magnified on the right. Show that the length of the segment \( \overline{o d} \) is twice the length of the segment \( \overline{d c} \) (To get full credit, you must clearly justify your answer).