As shown in the figure, in △ ABC, take AB AC as the edge and make equilateral △ abd △ ace outward respectively. Given DC = 10, find the length of be and explain the reason

BE=10.
reason:
In equilateral triangle, ad = AB, AC = AE, ∠ DAB = ∠ CAE = 60 °
Then, DAB + BAC = CAE + BAC, that is, DAC = BAE
Then △ DAC ≌ △ BAE (edge)
Then be = DC = 10

RELATED INFORMATIONS

1. It is known that a = (1,0) and B = (2,1). When k is the value, ka-b is parallel to a + 3B. When parallel, are they in the same direction or in the opposite direction? (A and B are vectors)
2. In △ ABC, ab = AC, D is a point on the extension line of Ca, DF ⊥ BC
3. Given the points a (5, y), B (1,2), and the vector AB = 5, then y=
4. If the radius of the inscribed circle is 1, then the circumference of the triangle is () A. 15B. 12C. 13D. 14
5. The range of y = log base 1 / 2 index (2a-3)? Please write clearly the process
6. P is a point outside the plane ABC of a right triangle, and angle c is a right angle if PA = Pb = PC (1) Determine the position of projection o of point P on plane ABC (2) If AC = 18, the distance from P to the surface ABC is 40, the distance from P to BC is calculated
7. Let's talk about the meaning difference of each set, the more detailed the better, {x | x = 1}, {y | (Y-1) & # 178;}, {x = 1},
8. As shown in the figure, in square ABCD, its side length is 1, P is the midpoint of CD, and point q is on the line BC. When BQ is what value, △ ADP is similar to △ QCP?
9. When the linear inequality ax + B of one variable is greater than 0 or ax + B is less than 0 and is a linear function y = ax + B (a is not equal to 0), it can be regarded as the --- of the linear function y = ax + B
10. As shown in the figure, AC bisector angle bad, CE is perpendicular to ab. (2) when angle ADC + angle ABC = 180 °, 2ae = AB + ad is proved
11. Please make the image of functions F1 (x) = LG (- x), F2 = - lgx, F3 (x) = LG | x | and F4 (x) = LG | x | and observe the relationship between the image and f (x) = lgx image. Can you summarize the general rules and apply them to other function images?
12. As shown in the figure, in △ ABC, ab = AC, BD = CE, DF = EF
13. The volume of a cylinder is 3 cubic decimeters. How many cubic decimeters is the volume of a cone with the same base and height?
14. The volume difference between a cylinder with equal base and height and a cone is 80 cubic meters. The volume of a cylinder is () cubic decimeters,
15. The volume sum of a cylinder and a cone with equal base and height is 96 cubic decimeters, the volume of the cylinder is (), and the volume of the cone is ()
16. If a cylinder and a cone are of equal height and equal bottom, and the difference between their volumes is 24 cubic decimeters, what is the volume of the cone? What is the volume of the cylinder?
17. A cylinder and a cone have the same height and the same base. Their volume is 60 cubic centimeters. So, what is the volume of a cylinder______ Cubic centimeter. What's the volume of a cone______ Cubic centimeter
18. The sum of the volumes of a cylinder and a cone with equal base and height is 80 cubic decimeters. What is the volume of the cylinder and the volume of the cone
19. The side area of a cylinder is expanded to get a square. It is known that the diameter of the bottom surface of the cylinder is 2 decimeters, and the volume of the cylinder is cubic decimeters The number obtained keeps the whole number
20. The side area of a cylinder is 351.68 square decimeters, and the bottom radius is 7 decimeters. Find the volume of the cylinder. I need it before 9:15!