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?

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• 1. Triangle ABC is a right triangle, quadrilateral ACDE, fgba are square, ab = 8 cm, BC = 6 cm, triangle AEF
• 2. 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
• 3. 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
• 4. 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
• 5. 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 ()
• 6. 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,
• 7. 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
• 8. 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
• 9. As shown in the figure, fold the △ ABC paper along de. when point a falls inside the quadrilateral bced, try to explore,
• 10. (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
• 11. 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?
• 12. 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
• 13. 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?
• 14. In △ ABC, ∠ ACB = 90 °, De is the median line of △ ABC, point F is on the extension line of BC, and ∠ CDF = ∠ a
• 15. 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
• 16. 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
• 17. If ad = 6 and BD = 5, the sum of areas of △ ADF and △ BDE can be obtained
• 18. 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
• 19. Cdef is the inscribed square of RT triangle ABC, BC = 2, AC = 1, find the square cdef area
• 20. As shown in the figure, in RT △ ABC, the bisector of ∠ a = 90 °, the bisector of ∠ B intersects AC at e, the height ah on the side of intersecting BC is at D, DF / / BC intersects AC at F through D, and the verification is: AE = FC