Right triangles - those with a 90-degree angle.
Obtuse
Although the Pythagorean theorem (sums of square of a right angled triangle) is called a theorem it has many mathematical proofs (including the recent proof of Fermats last theorem which tangentially also prooves Pythagorean theorem). In fact Pythagorean theorem is an 'axiom', a kind of 'super law'. It doesn't matter if anyone does oppose it, it is one of the few fundamental truths of the universe.
Your question is so confusing that I almost trashed it and am not sure yet what you want to know but I have a possible idea : consider a right triangle each of whose legs have length 1. By the Pythagorean theorem, the hypotenuse has length equal to the square root of 2. The square root of 2 is irrational- one can prove it is not equal to any fraction of integers, yet it is obviously is a number of some kind. Thus the number system had to be extended to include numbers of this kind.
They can be any kind of triangles.
Right-Angle triangles
Right triangles - those with a 90-degree angle.
All right-angles triangles. That is triangles that contain one angle at 90 degrees.
Obtuse
Although the Pythagorean theorem (sums of square of a right angled triangle) is called a theorem it has many mathematical proofs (including the recent proof of Fermats last theorem which tangentially also prooves Pythagorean theorem). In fact Pythagorean theorem is an 'axiom', a kind of 'super law'. It doesn't matter if anyone does oppose it, it is one of the few fundamental truths of the universe.
Well, that's kind of an awkward way to say it, but if the 45 and the 28 are thelengths of the legs of a right triangle, then the Pythagorean Theorem tells us thatthe length of the hypotenuse is 53.
Its a special relationship that was observed by Pythogorous. It just kind of works
Your question is so confusing that I almost trashed it and am not sure yet what you want to know but I have a possible idea : consider a right triangle each of whose legs have length 1. By the Pythagorean theorem, the hypotenuse has length equal to the square root of 2. The square root of 2 is irrational- one can prove it is not equal to any fraction of integers, yet it is obviously is a number of some kind. Thus the number system had to be extended to include numbers of this kind.
depends on what size triangles and what kind of triangles?
They can be any kind of triangles.
a pyramid can use any triangles possible.
The Pythagorean Theorem explains (or permits calculation of) the length of one side of a right triangle if the lengths of the other two sides are known. A right triangle is a triangle in which one of the three angles is a right angle (i.e. it has 90 degrees) For that kind of triangle, if A = the length of one of the sides making the right angle, B = the length of the other side making the right triangle, and C = the length of the side opposite to the right angle (also called the hypotenuse, then C2 = A2 + B2