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Hypothesis or postulate .
postulate!... this is a "play on word" mathematical riddle... a postulate is really a geometric term, but it is being used as "post you late."
Euclid parallel postulate can be interpreted as being equivalent to the sum of the angles of a [plane] triangle being 180 degrees. It is quite easy to prove that a polygon with n sides can be divided into n triangles. Putting the two together, you get the formula for the sum of the interior angles of a polygon.
All triangles inscribed in a semicircle with one side of the triangle being the diameter of the semicircle are right triangles.
A pyramid. The square being the base and the triangles the 'sides' - each having a side connected to a side of the square - the other sides connected to 'neighbor-triangles'.