911thology Formula.pdf

For a triangle with lengths of a,b,c for each side, the area of the triangle can be calculated as below :-

x^2 = (-a^2 + b^2 + c^2) / 2
y^2 = (a^2 - b^2 + c^2) / 2
z^2 = (a^2 + b^2 - c^2) / 2

Area = Square Root(x^2*y^2 + x^2*z^2 + y^2*z^2) / 2

Most people know the famous Heron Formula, the author of this formula use a different approach. Here are the steps of arriving this formula. Assume a triangle can be place in a 3-Dimensional space; the lengths of each side are a, b, c. The co-ordinates of the vertex are (x,0,0), (0,y,0), (0,0,z). So,

a^2 = y^2 + z^2
b^2 = x^2 + z^2 => (a^2 + b^2 + c^2) / 2 = x^2 + y^2 + z^2
c^2 = x^2 + y^2

With a little arrangement,

x^2 = (-a^2 + b^2 + c^2) / 2
y^2 = (a^2 - b^2 + c^2) / 2
z^2 = (a^2 + b^2 - c^2) / 2

Let A be the area of the triangle to be calculated. Let Axy, Ayz, Ayz to be the area of projected planes. By 3-Dimensional Pythagoras Theorem,

A^2 = Axy^2 + Axz^2 + Ayz^2
= (xy/2)^2 + (xz/2)^2 + (yz/2)^2

A = Square Root (x^2*y^2 + x^2*z^2 + y^2*z^2) / 2

For the 3-Dimensional Pythagoras Theorem, it is a special case of N-Dimensional Pythagoras Theorem and there are more sophisticated proofs which are available here.

A Generalized N-Dimensional Pythagorean Theorem

However, I use another way to show it. Of course, it is not a proof. First, extend the triangle as a rectangle frame.

Now, project the rectangle as shown below
=> R^2 = Rv^2 + Rxy^2

Next, move Rv to align to the line xy
=> Rv^2 = Rxz^2 + Ryz^2

Put it together,
=> R^2 = Rxy^2 + Rxz^2 + Ryz^2

As R = 2A, Rxy = 2Axy, Rxz = 2Axz, Ryz = 2Ayz

=> (2A)^2 = (2Axy)^2 + (2Axz)^2 + (2Ayz)^2
=> A^2 = Axy^2 + Axz^2 + Ayz^2

Of course, a more formal geometry approach can also be formulated.

Actually, this formula has no relationship with 9/11. However, it is used for the promotion of 9/11thology which is found by Mr. Dimitri A. Khalezov, a Soviet nuclear intelligence officer. He claims he personally knew a chief 9/11 perpetrator, the Pentagon was hit by a Soviet missile with a half-megaton warhead and the World Trade Center was demolished by 3 underground nuclear explosion 150 kiloton each. Read the following files for details:-

I hope you find this formula special. More importantly, please read the above files which explain all the 9/11 puzzle. I expect that people with sound mathematics and physics background will have the sense of suspecting the official lie in 9/11 Commissioner Report planes can penetrate steel made skyscrapers and kerosene can burn them into dust.

The people need truth badly. Please help to spread the truth.

Thank you.

9/11thology Supporter