![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
The base angle of a right angle trapezoid is 45 degrees, the top is 3cm, and the area is 20cm
Let the height of the trapezoid be H,
A right angled trapezoid has an area that can be transformed into a rectangle + a triangle (Note: a trapezoid can be divided into a rectangle and a triangle if it passes through the top corner of the hypotenuse to form a vertical line at the bottom)
3h+h*h/2＝20
h*h+6h＝40
h*h+6h-40＝0
(h+10)(h-4)=0
We get H1 = - 10, h2 = 4
Trapezoid height can not be negative, so trapezoid height is 4 cm
RELATED INFORMATIONS
- 1. In the isosceles trapezoid ABCD, ad ∥ BC, AB is equal to DC, AC and BD intersect at the point O, ∠ BOC is equal to 90 ° and BD = 10?
- 2. The diagonal lines AC and BD of parallelogram ABCD intersect at point O, and intersect with AB and CD respectively, and then verify with points E and f; OE = of
- 3. In known ladder ABCD, AD / / BC (AD
- 4. In known trapezoidal ABCD, ad is parallel to BC (AD is less than BC), m and N are two waist AB, the midpoint of CD, me is parallel to an, BC intersects e, am = ne is proved
- 5. As shown in the figure, in rectangular ABCD, ∠ AED = ∠ BEC = 30 ° ad = 1m, try to estimate the length of de + EC + AE. (the error is less than 1m) For the specific process, the figure is about ABCD is a rectangle, divided into three triangles, AB is the bottom edge, e is the middle point of ab
- 6. It is known that the perimeter of a large rectangle is 30 cm, and the shadow part is a rectangle. How about the length and width of a large square?
- 7. A square is divided into five equal rectangles, each with a circumference of 60 cm and a square with a circumference of () cm A. 300B. 200C. 100
- 8. As shown in the figure, a square is divided into three identical rectangles. If the perimeter of one of the rectangles is 16 cm, then the perimeter of the square is 16 cm______ Cm
- 9. The circumference of a rectangle is 26 cm, its length is 8 cm, and its area is 8 cm
- 10. The circumference of a rectangle is equal to that of a circle. The length of a rectangle is 4.85cm, which is 1.85cm longer than the width. What is the area of the circle in square centimeter?
- 11. It is known that the bottom of a right angled trapezoid is 30 cm and its height is 12 cm. Divide it into a rectangle and a triangle. The area of the triangle is 72 square cm. What is the area of the trapezoid?
- 12. The trapezoid in the figure below is composed of a square and an isosceles right triangle. It is known that the side length of the square is 12 cm, so the area of the trapezoid can be calculated
- 13. There is a square with a circumference of 32 cm. Cut and fill the square into a trapezoid. What is the area of the trapezoid after cutting and filling
- 14. In a set of opposite sides of a square, one side is increased by 16 cm, and the other side is decreased by 11 cm. In this way, it becomes a trapezoid. What is the area of the trapezoid
- 15. 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
- 16. A right angle trapezoid is 8cm 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
- 17. One bottom of a right angled trapezoid is 10 cm. If the other bottom is reduced by 2 cm, the trapezoid becomes a square. What is the area of the right angled trapezoid（
- 18. It is known that the area of a right triangle is 12cm2 and the perimeter is 122cm, then the radius of the circumscribed circle of the right triangle is___ cm．
- 19. The base of an isosceles right triangle is 24cm long, and its area is______ cm2．
- 20. It is known that the waist length of a right angled trapezoid is 10cm. What is the length of the other waist when the waist and a low one are called 30 degrees?