The irrational number a is the side length of a square with an area of 2. Draw the point of - A Main picture If it's OK, the reward will be increased to 80

The irrational number a is the side length of a square with an area of 2. Draw the point of - A Main picture If it's OK, the reward will be increased to 80


The side length of a square with an area of 2 is √ 2. If the area is 2, the length of the two intersecting lines in the middle of the square is 2, and half of the length of the intersecting lines is 1. So as shown in the figure, draw four isosceles right triangles with exactly the same waist length of 1 (area of 1 / 2) from O, and they will become two exactly the same waist length of √ 2 (area of 1



How to draw a line segment of irrational length in the Geometer's Sketchpad


You can use the consolidation theorem of right triangle to draw the rational number of two right angle sides, and the hypotenuse may be irrational. As long as the value you use is not exactly the square of the rational number, you can do it. For example, if the two right angle sides are 5cm, the hypotenuse is 5 * and 2



How to draw irrational numbers on the number axis?


Point a point and mark the irrational number
But pay attention to the relative position with other known points on the number axis, such as the known point larger than the irrational number is on the right side of the irrational number



What is the area of an equivariant triangle with an integer side


The answer is irrational