The topic of equilateral triangles is very urgent

Three ways to have a clear point in my space**.

What are you doing with the picture deliberately drawn crookedly?

The simplest way to explain this is that the diagram is rotated constantly, and when it turns 120 degrees and then 120 degrees, the lines are all constant, so the triangle they form in the middle is also constant, that is, equilateral.

Solution: Square ABCD equilateral triangle EAD

bad=90° ∠ead=60°

bae=150°

ba=ad=ae

abe= aeb and abe+ aeb=180°-150° aeb=15°

In the same way, we can also get ced=15°

and aed=60°

bec=∠aed-∠ced-∠aeb=60°-15°-15°=30°

Angle AEB = Angle ABE=15° In the same way, angle dec=15° So angle BEC = 30°

Angle BAE = 150 degrees, because AB=AE so angle AEB = 15 degrees, in the same way, angle CED = 15 degrees, so angle BEC = 60 degrees - 15 degrees - 15 degrees = 30 degrees.

Angle CDA + Angle ADE = 150 degrees.

cd=de, so angle ecd=(180-150) 2=15 degrees, angle BCE=90-15=75 degrees.

Angle bec = 180-75-75 = 30 degrees.

Because the ADE is an equilateral triangle, the angle AED is 60 degrees.

bae=150°

Because ab=ae=ad=de=dc, abe= aeb= dec dce=15 degrees.

So bec= aed- aeb- ced=60-15-15=30°

1.The distance from the center point to the bottom of an equilateral triangle = 6th of the root number 3 times the side length (can be used as a formula).

Because: height = 2 of the root number 3 times the side length.

The distance from the center point to the bottom of the equilateral triangle = (1 3) height = 6th of the root number 3 times the side length 2Connect the two endpoints on either side of the regular 6 sides with the center, the angle between these two auxiliary lines = 360 degrees 6 = 60 degrees, so the resulting triangle is an equilateral triangle, so why is the distance of one vertex of the regular 6 sides the same as the side length of the regular 6 lateral.

The height of an equilateral triangle with an edge length of 1 is: root number 3 2, and the distance from the center to the side is equal to the height of 1 3, that is, root number 3 2 * 1 3 = root number 3 6.

When the side length is 2 times the root number 3, the distance is 2 root number 3 * root number 3 6 = 1.

Connecting the center of a regular hexagon with the two endpoints of an edge is a regular triangle.

Its height is 3, so the distance between the center of gravity and the bottom edge is 3 3=1

If you divide the regular hexagon, you will find that it is made up of 6 equilateral triangles, so they are equal.

Multiply the root number 3 by the root number 3 by 2 times, and divide by 2, and the formula is estimated to be a deformation.

The correct ones are: There is an isosceles triangle with an outer angle of 120° is an equilateral triangle Reason: if 120 is the outer angle of the top angle, then the apex angle is 60°, of course it is an equilateral triangle, if 120 degrees is the outer angle of the base angle, the base angle is 60°, of course it is also an equilateral triangle Three triangles with equal outer angles are equilateral triangles.

Reason: The three inner angles are also equal, and 60° is an equilateral triangle, so C is chosen

An isosceles triangle with two equal outer angles is an equilateral triangle.

False reason: An isosceles triangle has equal outer angles, and an isosceles triangle with a height on one side is also an equilateral triangle on the middle lineFalse reason: The height on the bottom edge of any isosceles triangle is also the midline on this side, and not necessarily an equilateral triangle.