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

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## Solution

The proportion a : b is 2 : 1.

## Poem

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