In chapter 1, Hahn focuses on the

right triangle and even more closely upon proofs of the lawlike relations obtaining among its sides.

Note that the

right triangle case ([angle]OBA = [pi]/2) is considered as a special example of this case.

Adding two Pythagorean triples: Let A: (x, y, r) and B: (X, Y, R) be two Pythagorean triples (

right triangle sides that are integers) shown below in the two triangles.

Let's consider a

right triangle with one of its legs along the motion direction (Fig.

At t = 0, the currents on the first and second

right triangles of the Spidron fractal slot rise and their vector sum points from the upper right corner to the lower left corner.

Creating these three

right triangles (where the hypotenuses correlates with the bridle legs) is a very important step.

First, we consider the two

right triangles which each have a ladder as their hypothenuse.

As already mentioned the Egyptians knew that a triangle with sides 3-4-5 was a

right triangle. Pythagoras generalized this proposition and proved that in all

right triangles the square of the hypotenuse is equal to the sum of the squares of the other sides.

That is, while they visually noticed that the 12" by 3" rectangle was composed of two 6" by 3" rectangles without physically trying to put together the smaller pieces, neither of the children could figure out how two isosceles

right triangles made a 3" by 3" square.

Everyone said that there were at least two groups: a group of isosceles triangles and a group of

right triangles.

The individual, 26-minute long titles in this outstanding and thoroughly 'student friendly' series include: Analyzing Inequalities; Exponential Functions; Functions & Relations; Linear Equations & Slope; Patterns 7 Formulas; Polynomials; The Pythagorean Theorem &

Right Triangles; Quadratic Functions; Systems of Linear Equations; Variables, Expressions & Equations.

This volume provides a source for the math needed to understand the emergence and evolution of five contemporary problems whose development can be traced through elementary, high school, college, and university level math: the four numbers problem, rational

right triangles, lattice point geometry, rational approximation, and dissection.