Root 2 simply is the hypotenuse of a right triangle

而 √2 只是两边长度为 1 的 直角三角形之斜边。

A right triangle is a two dimensional figure with three side, two of which are perpendicular.

直角三角形是具有三条边的二维图形，其中两条是垂直的。

And you should also see that this is a right triangle that I have set up over here.

这个平行于斜面 而这个垂直于斜面这个平行于斜面 而这个垂直于斜面。

Take four identical right triangles with side lengths a and b and hypotenuse length c.

取四个全等的直角三角形，两边分别长 a 和 b，斜边长 c。

The most famous relation in geometry is the relation between the sides and the hypotenuse of a right triangle.

几何中最著名的关系是直角三角形的边和斜边之间的关系。

According to the converse of the Pythagorean theorem, that has to make a right triangle, and, therefore, a square corner.

根据毕达哥拉斯的逆定理，这就可以形成一个直角三角形，因此，便可形成直角。

Picture a right triangle where side A is the tree.

想象一个直角三角形， 其中 A 边是树。

Somehow, rhomboids and isosceles right triangles didn't seem so important.

不知道为什么 菱形和等腰直角三角形似乎没有那么重要了。

Similar experiments show that all shapes other than acute triangles, including right triangles, will also wake up.

类似的实验表明， 除了锐角三角形之外的所有形状，包括直角三角形， 也会被唤醒。

You've got Babylonian surveyors who have their own unique understanding of right triangles and rectangles, and they're using it.

你有巴比伦的测量员，他们对直角三角形和矩形有自己独特的理解，并且他们正在使用它。