Hypothesis or postulate .
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.
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."
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'.
AA
Hypothesis or postulate .
Hypothesis or postulate .
Yes. You can even have two triangles with two pairs of sides that are the SAME measure without the triangles being similar.
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.
No.
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."
A postulate is something that is accepted as true without proof. A theorem, on the other hand, is something that has been proven and is now being accepted as true.
No. Only right triangles do, and not all triangles can be right triangles. Equilateral triangles, for example, are always 60°-60°-60°. Isosceles and scalene triangles can be right triangles; all isosceles triangles have the additional useful property of being able to be split into two right triangles.
Hypothesis or postulate .
All triangles inscribed in a semicircle with one side of the triangle being the diameter of the semicircle are right triangles.
False. Equilateral triangles are equilateral. All isosceles triangles have two of the sides the same, with the hypotenuse being longer than the other two.