As shown in the figure, in trapezoidal ABCD, ad ‖ BC (BC > AD), ∠ d = 90 °, BC = CD = 12, ∠ Abe = 45 °, if AE = 10, the length of CE is______ ．

Through B, make the vertical line of Da intersect with the extension line of DA at m, M is the vertical foot, extend DM to g, make mg = CE, connect BG, it is easy to know that the quadrilateral BCDM is a square, so BC = BM, ∠ C = ∠ BMG = 90 °, EC = GM, ≌ BEC ≌ BMG (SAS), ≌ MBG = ∠ CBE, ∫ Abe = 45 °, ∫ CBE + ∠ ABM = 45 °, ≌

(1) The side length a of a square with an area of 8 is irrational. Please use a compass to draw a point a on the number axis so that the number represented by point a is irrational

Make a square with side length of 2 on the number axis, its diagonal is equal to √ 8, take o as the center, diagonal om as the radius, draw an arc to intersect the number axis at two points, right a means: a = √ 8 (2 √ 2), left intersection means - A

The side length a of a square with an area of 2 is an irrational number. How to draw a point on the number axis to represent a and how to use the point on the number axis to represent a

The side length of square with area 2 a = root 2
On the number axis, the point of root 2 can be drawn as follows:
1. Through the origin o, the ray OM is perpendicular to the x-axis,
2. Intercept OA = 1 unit length on OM and ob = 1 unit length on ox,
3. Draw an arc with B as the center, AB as the radius, and intersect the number axis ox (positive direction) at point C,
Then the number represented by point C is the root of irrational number 2

The side length B of a square with an area of 18 is an irrational number. How to draw the point B on the number axis?

B = 3 * radical 2; the length of the diagonal of a square whose side length is 3 intercepted by a compass is B

As shown in the figure, in trapezoidal ABCD, ad ‖ BC (BC > AD), ∠ d = 90 °, BC = CD = 12, ∠ Abe = 45 °, if AE = 10, the length of CE is______ ．