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## 'Threesomes' printed from http://nrich.maths.org/

Imagine an infinitely large
sheet of square dotty paper on which you can draw triangles of any
size you wish (providing each vertex is on a dot). What areas is
it/is it not possible to draw?

Can you draw triangles of area 1, 2, 3, ?.. square
units?

Can you draw a triangle with an area of 1.5 square units?

What is the area of the smallest triangle you can draw? Is this
triangle unique?

How many triangles of of area 2 square units can you draw and
can you create "families" or "groups" of these triangles?