The lever of Archimedes

Two congruent triangles are placed as shown. A line segment passes through the centroid of the yellow triangle. What’s the proportion a : b?

Scroll down for a solution to this problem.


The proportion a : b is 2 : 1.

Solution by Ferdi Yılmaztürk.


The lever of Archimedes
Was a geometrical proof
Between equal and unequal
He wanted to move the world
With lever, pulley and screw
Archimedes of Sicily
Left a big legacy
He also used he principle screw similarly
To irrigate the Gardens of Babylons
Pumping water ingeniously


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