Equilateral

So you can maybe view it as the sides are equal their weight is the same on either side.

I'm just going to assume I've constructed an equilateral triangle, so Triangle ABC is equilateral. and if it's equilateral, that means all of it's sides are equal, and lets say that it has an equilateral with sides of length x. so this is going to be x this is going to be x, and this is going to be x. we also know, based on what we seen from equilateral triangles before, that the measures of all of these angles are going to be 60 degrees.

Equilateral Triangle

Azimuthal Equidistant

So these are equivalent.

All of these statements are equivalent.

I love you both the same.

But if you have a 60, let me do it in another color, if you have a 60, 60, 60 triangle, all of the angles are 60 degrees, you're dealing with an equilateral triangle.

The perimeter of an equilateral triangle ABC is 3 times the perimeter of an equilateral triangle DEF.

Geometric Isosceles Triangle

Equilateral, D.

It's not an equilateral triangle.

Triangle BEC is equilateral

It's an isosceles triangle

I love you two the same.

Corners

An isosceles, let me write this, this is a right isosceles, i sos ce les triangle.

Now let's think about the supplementary angles. so supplementary angles

Equilateral triangle with given two vertices

Now, this triangle right here is an isosceles triangle.

An isosceles trapezoid.

Because it's an isosceles trapezoid.

So this is my equilateral triangle.

Well, the equilateral triangle.

Those angles add up to that one, and those angles add up to that one.

Multiple Corners

Round Corners...

Squared corners

Round corners

Complements.

Vertical angles.

corresponding angles.

So corresponding angles let me write these these are corresponding angles are congruent.

The idea that each individual should have an equal vote, an equal say, in the formation of their government.

And then we have obviously AE is equivalent to itself

This is also an isosceles trapezoid.

So this is an equilateral triangle.

Who is he to be equal with?

Now, how do we know this doesn't buy itself show this is congruent?

So, if we want the measure of the sum of all of the interior angles, all of the interior angles are going to be

Opposite angles are congruent.

Corresponding angles are congruent.

Corresponding angles are equal.

To figure out what the other angles are