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In plane geometry, all triangles have the sum of the angles to be 180 degrees. So There are many triangles with all the angles less than 90. ( if one angle is more than 90 degrees, then its called 'obtuse' , if all the angles are less than 90, then its called 'Acute' ).

Two types of triangles with angles less than 90 degrees are Equalaterial and Isocoles. ( Equalaterial have two equal angles, Isocoles have three equal angles, all 60 degress ).

You can think in terms of sets:

The subset of Triangles is Acute,

The subset of Acute Triangles is Equalateral,

The subset of Equalateral Triangles is Isocoles.

{Triangles{Obtuse|Acute{Equlaterial{Isocoles

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Q: Triangle with all angles less than ninety?
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