How to find the waist length of an isosceles trapezoid, how to calculate the waist length of an isos

Suppose that the trapezoidal shape is ABCD, that B is vertical with Cd and E, and that A is vertical with Cd and F

Because: angle BCE=45 degrees, BE=2, so EC=2, BC=2, root number 2

Because ab=3Fe = 3, because EC = 2, so DF = 2, so: dc = 7 so the perimeter = 3 + 2 root number 2 * 2 + 7 = 10 + 4 root number 2 total above: the bottom is 7, the waist length is 2 root number 2, and the circumference is 10 + 4 root number 2

The upper bottom is higher than the lower bottom, forming a right-angled triangle with the waist, the hypotenuse of this right-angled triangle is equal to the waist of the trapezoid, that is, 10, and the two right-angled sides are the height of the trapezoidal sum (lower bottom-upper bottom) 2 that is, 6

The height of the right triangle can be calculated from the characteristics of the right triangle as 10 2-6 2 = 8 2

Therefore, if the height is 8, the trapezoidal area is (6+18)*8 2

Solution: According to the title, in the isosceles trapezoidal ABCD, AD=3, through A as AE perpendicular to BC, AE=2, AB=CD, B= C=45 degrees.

In the right-angled triangle AEB, b=45 degrees.

So be=ae*ctg45=2 ab=ae sin45=2 2 (waist length).

So isosceles trapezoidal ABCD.

BC = 3 + 2 * 2 = 7 (bottom length).

Trapezoidal circumference = 3 + 7 + 2 * 2 2 = 10 + 4 2

By making a height at the apex of the trapezoid, you can get a right-angled triangle, and the two right-angled sides of the triangle are equal to each other.

High. 1 2 (bottom - bottom bottom).

According to the Pythagorean theorem: the sum of the squares of two right-angled sides is equal to the square of the hypotenuse to calculate the waist length.

Subtract the top bottom from the bottom and divide by 2 to get a

The height is b waist = a + b under the root number

Isosceles trapezoidal circumference = upper bottom + lower bottom + 2 waist length.

There are 4 paragraphs in total. The upper bottom is known.

The bottom is known. Both waists are equal.

6 divided by 2 = 3

1. The waist length of the isosceles trapezoid = (the perimeter of the trapezoid-the upper bottom - the lower bottom) 2.

2. The waist length of the trapezoid = the circumference of the trapezoid-the upper bottom - the lower bottom - the other waist length.

3. Area = (upper bottom + lower bottom) x height 2.

4. Knowing the area and height, it can be obtained that (upper bottom + lower bottom) = area x 2 height.

5. The nature of isosceles trapezoid: the two waists of isosceles trapezoidal are equal; The two base angles of the isosceles trapezoidal on the same base are equal; The two diagonals of an isosceles trapezoidal are equal; The isosceles trapezoidal shape is an axisymmetric figure, and the axis of symmetry is the straight line where the line connecting the midpoints of the upper and lower bases (the straight line passing through the midpoints of the two bases).

6. Determination of isosceles trapezoid: the trapezoid with equal two waists is an isosceles trapezoid; A trapezoid with two equal angles on the same base is an isosceles trapezoid; A trapezoid with equal diagonal lines is an isosceles trapezoid.

The waist length of the isosceles trapezoid = (the circumference of the trapezoid-the upper bottom - the lower bottom) 2 The waist length of the trapezoid = the circumference of the trapezoid-the upper bottom - the lower bottom - the area of the other waist length = (upper bottom + lower bottom) x height 2

Knowing the area and height, we can get (top bottom + bottom bottom) = area x 2 heightExtended MaterialsThe nature of isosceles trapezoid.

1. The two waists of the isosceles trapezoidal are equal.

2. The two bottom angles of the isosceles trapezoidal on the same bottom are equal.

3. The two diagonals of the isosceles trapezoidal are equal.

4. The isosceles trapezoidal shape is an axisymmetric figure, and the symmetry axis is the straight line where the line connecting the midpoints of the upper and lower bottoms is located (the straight line passing through the midpoints of the two bottoms).

Determination of isosceles trapezoid.

1. A trapezoid with equal waists is an isosceles trapezoid;

2. A trapezoid with two equal angles on the same bottom is an isosceles trapezoid;

3. A trapezoid with equal diagonal lines is an isosceles trapezoid.

Area multiplied by 2 divided by the sum of length and width.

The area is multiplied by 2 divided by the length of the upper side plus the sum of the length of the lower side.

The circumference minus the top bottom minus the bottom divided by two.

The circumference of the isosceles trapezoidal = the length of the upper bottom + the length of the lower bottom + 2 The length of the waist if the bottom angle = 60 degrees, the length of the lower bottom》The length of the upper bottom: the right-angled side of the right triangle 30 degrees = half of the hypotenuse, the waist length = [(the length of the lower base - the length of the upper bottom) 2] 2 = the length of the lower bottom - the length of the upper bottom, the circumference = the length of the upper bottom + the length of the lower bottom + 2 The length of the waist = the length of the upper bottom + the length of the lower bottom + 2 (the length of the lower bottom - the length of the upper bottom) = 3 The length of the lower bottom - the length of the upper bottom.

There are several formulas, as follows: 1. The trapezoidal perimeter formula c = upper bottom + lower bottom + two waist lengths 2. The perimeter formula of the isosceles trapezoid: upper bottom + lower bottom + 2 waist 3, trapezoidal area formula:

s=1 2 (upper bottom + lower bottom) * height 4, trapezoidal area formula: median line x height 5, diagonal perpendicular to each other trapezoidal area is: diagonal x diagonal 2 friends, if it helps you, please give a like, thank you.

h=5/cos70

The circumference of an isosceles trapezoidal shape = upper base length + lower base length + 2 waist length.

If the bottom angle = 60 degrees, the bottom length of the bottom and the length of the upper bottom:

The right-angled side of the right-angled triangle at 30 degrees = half of the hypotenuse, waist length = [(lower base length - upper bottom length) 2] 2

Bottom length - Bottom length, circumference = top bottom length + bottom length + 2 waist length.

Upper bottom length + lower bottom length + 2 (bottom length - top bottom length).

3 Bottom length - Upper bottom length.

The upper bottom is higher than the lower bottom, forming a right-angled triangle with the waist, the hypotenuse of this right-angled triangle is equal to the waist of the trapezoid, that is, 10, and the two right-angled sides are the height of the trapezoidal sum (lower bottom-upper bottom) 2 that is, 6

The height of the right triangle can be calculated from the characteristics of the right triangle as 10 2-6 2 = 8 2

Therefore, if the height is 8, the trapezoidal area is (6+18)*8 2 = 96