As shown in the figure, in the triangle ABC, ab = AC, the angle a = 120 ° de bisects AB and BC vertically in D, e

Because it is an isosceles triangle with an angle of 120 degrees, the base angle is 30 degrees, so the triangle BDE is a right triangle with an angle of 30 degrees, so let de length be x, then be = AE = 2x, BD = ad = (radical 3) x, so AC = (double radical 3) X
Because angle B = angle EAB = 30 degrees, so angle EAC = 90 degrees, so triangle AEC is right triangle, angle c is 30 degrees, so CE = 2 * AE = 4x
So CE = 4de

RELATED INFORMATIONS

1. In △ ABC, ab = AC, ∠ a = 120 °, D is the midpoint of AB, crossing D as the vertical bisector of AB and crossing BC at e. the proof is EC = 2be
2. It is known that in △ ABC, be = CE, ∠ DBC = ∠ ACB = 120 °, BD = BC, CD intersection AB is at point e., and de = 3ce is proved
3. In non isosceles triangle ABC, D is the midpoint of BC and F is the midpoint of ab. the correct conclusion is that a AE: ad = 1:3, B △ abd is all equal to △ ADC, C △ abd is similar △ADC D △AEF=△CED
4. In the isosceles triangle ABC, the angle a is equal to 20 degrees, AB is equal to AC, D is on AC, and ad is equal to BC. Find the size of the angle abd
5. In the isosceles triangle ABC, AB equals AC equal to 13, BC equal to 10, D is the midpoint of AB, do de through D, perpendicular to AC and E, find de?
6. As shown in the figure, in △ ABC, ab = AC, ∠ a = 36 °, BD and CE are the bisectors of △ ABC and △ BCD, respectively, then the isosceles triangle in the figure has______ One
7. In the triangle ABC, ab = AC, point D is on AC. when the angle a is equal to what degree, the triangle abd and the triangle BCD are isosceles triangles There is no graph, just let you find the angle a how many degrees
8. In △ ABC and △ ACD, ∠ ACB = ∠ ADC = 90 °, AC = 5, ad = 4. When BC is equal to what, △ ABC is similar to △ ADC? Explain your reason Picture: a right triangle on the left is placed upright, with vertex a, bottom left B, bottom right C, ∠ C as right angle, and a right triangle on the right is smaller than △ ABC, one side is collinear with AC, two outer sides are right angles with D, ∠ d. A is also the vertex of the right triangle, and C is another point except vertex and right angle Answer before April 10
9. As shown in the figure, it is known that ad is the middle line of △ ABC, ∠ ADC = 45 ° turn △ ADC over along the straight line ad, and point C falls at the position of point C ' As shown in the figure, it is known that ad is the middle line of △ ABC, ∠ ADC = 45 °, turn △ ADC over along the straight line ad, point C falls at the position of point C ', BC = 4, and find the square of the length of BC' I haven't thought about them for a long time
10. It is known that adae is the middle line and height of triangle ABC respectively. The perimeter of triangle ABC is 3 cm larger than that of triangle ACD, and ab = 3 cm Ask for the length of AC, Calculate the area relationship between △ abd and △ ACD
11. It is known that: as shown in the figure, in △ ABC, AC = BC, ∠ ACB = 120 °, CE is perpendicular to AB and D, and de = DC
12. In the triangle ABC, the angle ACB is 90 degrees, AC = BC, ad is the center line of DC side, CE is perpendicular to e, and the extension line of CE intersects AB at F Find the value of (1) AE ratio de and (2) Tan angle bad
13. As shown in the figure, in △ ABC, ad ⊥ BC, CE ⊥ AB, D and e respectively, ad and CE intersect at point h, please add an appropriate condition:______ So that △ AEH ≌ △ CEB
14. In triangle ABC, ad intersects BC at point D, CE is perpendicular to ad at point E, connect be, ∠ ABC = 45 degrees, ∠ ADC = 60 degrees, DC = 2bd, try to find the degree of ∠ C
15. In the triangle ABC, the angle a = 90 degrees, the bisector of angle c intersects at point D, the known angle DCB = 2, the degree of angle ADC is calculated
16. As shown in the figure, in △ ABC, the bisector of ∠ a = 90 ° intersects AB at D. if ∠ DCB = 2 ∠ B, calculate the degree of ∠ ADC
17. As shown in the figure, △ ABC, angle a = 90 ° and bisector of angle c intersects AB at D. given angle DCB = 2 angle B, calculate the degree of angle ADC
18. If the line y = x + 2 passes through a focus and a vertex of the ellipse x2a2 + y2b2 = 1 (a > b > 0), then the eccentricity of the ellipse is 0___ ．
19. As shown in the figure RT △ ABC, ab = AC = 1, make an ellipse with point C as a focus, so that the other focus of the ellipse is on the edge of AB, and the ellipse passes through two points a and B, then the focal length of the ellipse is______ ．
20. In RT △ ABC, ∠ C = 90 ° and ∠ a = 30 °, then a and B are the focus, and the eccentricity of ellipse passing through point C is the same______ ．