As shown in the figure, it is known that CD is the height of AB side in △ ABC, and ⊙ o with CD as diameter intersects Ca at point E, and point G is the midpoint of AD. (1) prove that GE is the tangent of ⊙ o; (2) if AC ⊥ BC, AC = 8, BC = 6, find the length of tangent Ge

(1) It is proved that: connect OE, og; (1 point) ∵ Ag = Gd, CO = OD, ∵ og is the median line of △ ACD, ∵ og ∥ AC. (2 points) ∵ OEC = ∠ goe, ∵ ACD = ∠ God. (3 points) ∵ OE = OC,

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12. As shown in the figure, △ abd and △ ace are equilateral triangles. What's the use of proving ad = AB and AE = AC in be = CD
13. As shown in the figure, abad = BCDE = ACAE, verification: △ abd ∽ ace
14. As shown in the figure, abad = BCDE = ACAE, verification: △ abd ∽ ace
15. As shown in the figure, abad = BCDE = ACAE, verification: △ abd ∽ ace
16. As shown in the figure, ab ⊥ AC, ab = AC, ad ⊥ AE, ad = AE
17. As shown in the figure, abad = BCDE = ACAE, verification: △ abd ∽ ace
18. As shown in the figure, △ ABC, ab = AC, D is the moving point on AB, DF ⊥ BC is at point F, and Ca extension line is at point E, (1) (2) when point D is on the extension line of Ba, other conditions remain unchanged. (1) is the conclusion still valid? Please give reasons
19. As shown in the figure, ad and AE are the height and middle line of the triangle ABC respectively, and ab = 8, AC = 5. What is the perimeter of the triangle Abe over the triangle ace? What is the relationship between the area of triangle Abe and triangle ace?
20. As shown in the figure, in △ ABC, ab = AC, be = AE, the perimeter of △ BCE is 12, BC = 5, find the length of ab