Article 57TZJ Can you solve it? The smallest biggest triangle in the world

Can you solve it? The smallest biggest triangle in the world

by
Alex Bellos
from on (#57TZJ)

The Earth ain't big enough for this tiny shape

Today's puzzle is simple and spectacular. It asks you to construct a triangle whose existence seems to defy reason.

Show that there is a triangle, the sum of whose three heights is less than 1mm, that has an area greater than the surface of the Earth (510m km2).

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