Triangle ABC is a right triangle, quadrilateral ACDE, fgba are square, ab = 8 cm, BC = 6 cm, triangle AEF

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1. As shown in the figure, the triangle ABC is a right triangle, the quadrilateral EDFC is a square, the sum of the areas of the two shadow triangles is 32 square centimeters, ad: DB = 4:1, find the length of AD
2. The perimeter sum of an equilateral triangle ABC and a square defg is 95 decimeters. AB: de = 1:4. What is the side length of an equilateral triangle
3. The circumference of circle O is equal to 4 π cm. Find the side length, side center distance and area of its inscribed regular triangle ABC
4. In triangle ABC, D and E are the midpoint of AB and AC respectively, then the area ratio of triangle ade to quadrilateral DEBC is ()
5. It is known that in ABC triangle, D and E are AC = 7, ∠ ABC = 120 °, AE = BC and Sina = 3 √ 3 / 14 on AC and ab respectively, and the area of quadrilateral DEBC is calculated Please, the sooner the better,
6. As shown in the figure, in △ ABC, ∠ C = 90 ° de bisects AB vertically, intersects BC with E, ab = 20, AC = 12. (1) find the length of be; (2) find the area of quadrilateral Adec
7. As shown in the figure, in △ ABC, ∠ C = 90 °, D is the point on AC, de ⊥ AB is at point E. if AB = 10, BC = 6, de = 2, calculate the area of quadrilateral DEBC
8. As shown in the figure, fold the △ ABC paper along de. when point a falls inside the quadrilateral bced, try to explore,
9. (1) As shown in the figure, the triangle ABC paper is folded along De to form figure 1. At this time, point a falls inside the quadrilateral bced, and there is a quantitative relationship between angle A and angle 1 and angle 2, which remains unchanged. Find out the quantitative relationship and explain the reason; (2) If the point a falls on be or CD, write the relationship between angle A and angle 2, angle A and angle 1, and explain the reason; (3) If folded into Figure 4, write the relationship between angle A and angle 1, angle 2, and explain the reason; (3) if folded into figure 5, write the relationship between angle A and angle 1, angle 2, and explain the reason
10. As shown in the figure, fold a triangular piece of paper ABC along De, and point a falls inside the quadrilateral bced (1). If ∠ a = α, find ∠ 1 + 2
11. As shown in the figure, the triangle ABC is a right triangle, and the quadrilateral befd is a square. Given that the lengths of AB and BC are 12 cm and 20 cm respectively, what is the square area?
12. As shown in the figure, in the right triangle ABC, e is the intersection of the bisectors of two acute angles, ed ⊥ BC is D, EF ⊥ AC is F. can you explain that the quadrilateral cdef is a square?
13. As shown in the figure, in the right triangle ABC, D is the middle of hypotenuse AB, ED is perpendicular to point D, BC intersects point E, ab = 20, AC = 12. Find the area of quadrilateral Adec
14. As shown in the figure, in the right triangle ABC, the quadrilateral efbh is a square, ab = 21cm, BC = 28cm, AC = 35cm, ED is perpendicular to AC, ed = 8.4cm, what is the area of the square efbh?
15. In △ ABC, ∠ ACB = 90 °, De is the median line of △ ABC, point F is on the extension line of BC, and ∠ CDF = ∠ a
16. In △ ABC, ∠ BCA = 90 degrees, D and E are the middle points on the sides of AC and ab respectively, f is on the extension line of BC, ∠ CDF = ∠ a It's a proof
17. In the triangle ABC, ∠ ACB = 90 ° points D and E are the middle points of AC and ab respectively, point F is on the extension line of BC, tangent ∠ CDF = ∠ a, prove that decf is ‖ quadrilateral
18. If ad = 6 and BD = 5, the sum of areas of △ ADF and △ BDE can be obtained
19. In △ ABC, ∠ C = 90 °, D, e and F are points on edges AB, AC and BC respectively, and the quadrilateral decf is a square if ad = 7
20. Cdef is the inscribed square of RT triangle ABC, BC = 2, AC = 1, find the square cdef area