File:Square root of 2 triangle.svg

This image is a derivative work of the following images: Square root of 2 triangle.png licensed with PD-self 2006-08-24T23:06:09Z Lachaume 500x500 (8652

English Shows isosceles right triangle with hypotenuse length of square root 2.

Square root of 5 is the dimension h of the square in red dashed lines,  because its area is 5.  It is also the hypotenuse length of a right triangle of which

org/licenses/by-sa/4.0CC BY-SA 4.0 Creative Commons Attribution-Share Alike 4.0 truetrue English Equilateral triangle with side length 2 and height square root of 3.

  An illustration of the irrationality of the Square root of 2. Suppose m and n are integers. Then a similar triangle can be constructed with legs m-n