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Isosceles Right Triangle


Isosceles right triangle, the hybrid triangle produced by crossbreeding an isosceles triangle and a right triangle, is the triangular structure of the Tao. The Isosceles right triangle is the trigram whose three sides are the three persons of the Blessed Trinity.

Since the Tao is the Blessed Trinity, the three sides of the isosceles right triangle are the three persons of the Blessed Trinity.

The three sides of the isosceles right triangle are the following three sides of a right angled triangle:
  1. Opposite
  2. Adjacent
  3. Hypotenuse
The three sides correspond to the three persons of the Blessed Trinity as follows:
Opposite = Father (First Person)
Adjacent = Son (Second Person)
Hypotenuse = Holy Spirit (Third Person)


The linear magnitude of each person of the Blessed Trinity can be calculated via any of the six trigonometric ratios if either the angle facing the opposite side or the angle facing the adjacent side is known.

Let the angle facing the opposite side (the vertical line) be Y. Then the opposite is the vertical line or the Y-Axis, the adjacent is the horizontal line or X-axis, and the side opposite the right angle is the Hypotenuse.

Therefore we can calculate angle Y via any of the following three out of the six trigonometric ratios:
Sin Y = Opp/Hyp
Cos Y = Adj/Hyp
Tan Y = Opp/Adj

Where,
Sin = Sine
Cos = Cosine
Tan = Tangent
Opp = Opposite
Adj = Adjacent
Hyp = Hypotenuse

A side of the right triangle can be calculated via Pythagorean theorem (Pythagoras' theorem) if the other two sides are known.

Pythagorean theorem states that the square of the hypotenuse of a right triangle (a right-angled triangle) is equal to the sum of the square of the opposite side and the square of the adjacent side.

|Hyp|² = |Opp|² + |AdJ|² (Pythagorean theorem)

Since the Father is one person, Opp (the vertical line) is equal to 1. And since the Son is one person, Adj (the horizontal line) is equal to 1. The Holy Spirit is the Hypotenuse whose magnitude is calculated via Pythagoras' theorem as follows:

Opp (Son) = 1
Adj (Father) = 1

Substituting 1 and 1 into Pythagoras' theorem,
|Hyp|² = 1² + 1²
          = 1 + 1
          = 2

Hyp = 2

Therefore the isosceles right triangle is a right-angled triangle whose opposite and adjacent sides are equal or an isosceles triangle that has a right angle.

The angle Y facing the opposite side of Y and the angle X facing the adjacent side of Y can be calculated via Sin Y = Opp/Hyp and Sin X = Opp/Hyp.

Opp = 1 (Father)
        = Vertical line

Hyp = 2

Sin Y  = Father/Holy Spirit
           = 1/2
       Y = 45°


Opp = 1 (Son)
        = Horizontal Line

Sin X = Son/Holy Spirit
          = 1/2
       X = 45°

This means that the base angles of the isosscles right triangle are equal to 45°.

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