The shape of the figure is similar to the symbol of Mercedes-Benz, which is dubbed the Mercedes-Benz Theorem.

Definition of Mercedes-Benz Theorem;

Prove:

Relationship between Mercedes-Ben Ci Theorem and Four Centers of Triangle

When the point p coincides with the center of gravity g of the triangle

When the point p coincides with the outer center o of the triangle

When the point p coincides with the center I of the triangle

When the point p coincides with the vertical center h of the triangle