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Centroid of a right angle triangle (Graphical Proof)

What is the centroid of a right angle triangle? The centroid of a triangle is defined as the point of intersection of 3 medians where a median is a line joining the midpoint of a side to the opposite vertex in the triangle. Specifically for a right angled triangle, this centroid is located at 2/3's the length of the triangle in both the vertical and horizontal axis starting from the non-90 degree angles. Music by Adrian von Ziegler