The area of an isosceles right triangle is 4.5 square centimeters. Eight of these triangles form a square. The perimeter of the square is(
24cm
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- 1. Trapezoid is composed of a square and an isosceles right triangle
- 2. In the trapezoid on the right, there is an isosceles right triangle and a square. It is known that the area of the trapezoid is 6 square centimeters. How many centimeters is the height of the trapezoid
- 3. The figure below is a trapezoid, its area is unknown, the bottom 20 cm, there are two right angles, the other angle is 45 degrees
- 4. As shown in the figure, if the straight line EF passes through the intersection o of diagonal lines of parallelogram ABCD and intersects AB, CD at e and f respectively, the area of the shadow part is () A. 15B. 14C. 13D. 12
- 5. As shown in the figure, in the isosceles ladder ABCD, ad ‖ DC, ab = DC, diagonal AC and BD intersect at point O, Bo = 6cm, e is a moving point on the edge of BC (point E does not coincide with B and C), EF ‖ BD intersects AC at point F, eg ‖ AC intersects BD at point g. during the movement of point E, try to guess whether the sum of the lengths of GH and EF changes? If so, explain your reason; if not, request its value
- 6. As shown in the figure, in ladder ABCD, ad is parallel to BC, ad is less than BC, ab = DC, AC, BD intersect at point O, the angle BOC = 60 degrees, e, F, G are the midpoint of Ao, Bo, DC respectively, prove that the triangle EFG is an equilateral triangle
- 7. In trapezoidal ABCD, ad ‖ BC, ab = DC, AC, BD intersect with point O, and ∠ BOC = 60 ° Find the length of EF If e and F are the midpoint of OC and ab respectively, ad = 1 and BC = 2,
- 8. The diagonals AC and BD of parallelogram ABCD intersect at point O, BF passes through point O, and intersect with AB and CD at points E and f respectively After modification: the diagonal lines AC and BD of parallelogram ABCD intersect at point O, EF passes through point O, and intersects with AB and CD at points E and f respectively
- 9. As shown in the figure, in trapezoidal ABCD, ad ∥ BC, diagonal AC and BD intersect vertically at O, Mn is the median line of trapezoidal ABCD, ∠ DBC = 30 °, verification: AC = Mn
- 10. As shown in the figure, in trapezoidal ABCD, ad ∥ BC, diagonal AC and BD intersect vertically at O, Mn is the median line of trapezoidal ABCD, ∠ DBC = 30 °, verification: AC = Mn
- 11. A trapezoid, after the lower sole is shortened by 11.1 cm, just becomes a square. The perimeter of the square is 35.6 cm, and the original trapezoid area is ()
- 12. The trapezoid's upper bottom is increased by 3 cm, and the lower bottom is increased by 2.5 cm to form a square with a circumference of 36 cm
- 13. The perimeter of a square is 36 cm. Cut and fill the square into a trapezoid. How many square meters is the area of the trapezoid?
- 14. As shown in the figure, the perimeter of the square is 28cm. Find the area of the trapezoid. (unit: cm)
- 15. For a right angle trapezoid, the ratio of the upper bottom to the lower bottom is 3:5. If you increase the upper bottom by 7 cm and the lower bottom by 14 cm, you can turn it into a square and find the area of the trapezoid
- 16. There is a trapezoid. Its upper bottom is 5cm and its lower bottom is 7cm. If the upper bottom is only increased by 3cm, its area will be increased by 4.5cm. How about the area of the original trapezoid?
- 17. A trapezoid, if the upper bottom increases by 2 cm and the lower bottom decreases by 2 cm, becomes a square with a side length of 5 cm. The area of this trapezoid is______ Square centimeter
- 18. A right angled trapezoid is 8 cm high. If you shorten its bottom to a little, you will get an isosceles right triangle. The area of the original trapezoid is one fourth of that of the original trapezoid. The area of the original trapezoid is square centimeter
- 19. Two isosceles right triangles ABC and fed are partially overlapped, and their right sides are 15cm and 9cm respectively. The area of trapezoid gbed is calculated
- 20. As shown in the figure, in an isosceles right triangle, after cutting off a triangle, there is an isosceles trapezoid with the upper bottom 5 cm long and the lower bottom 9 cm long. What is the area of this trapezoid______ Square centimeter