Plus 6 triangles, I got a total of 8 triangles

Harmonious Triangles

Just break it up into triangles.

The four right triangles are congruent.

So these are congruent triangles.

You just break it up into triangles.

So what if we actually view this (let me clear this) as 4 groups of 8?

We don't have to add that one 8 to anything else so we could literally write this down. If we wanted to do it the way we've done the last few, we could literally write it down.

Remember, I used triangles for potassium.

And we're dealing with an equilateral triangle

So a pentagon has three triangles in it.

So I have one, two, three, four triangles.

So now let me ask you another question. So far we've been focused on each of these groups, but what if we actually view this as 4 groups of 8?

Then how many things are we actually going to have? So let me make this very clear.

That they are similar triangles you have this angle,

In which case, we actually would have congruent triangles.

But we know that they're definitely isosceles triangle

So we know we're dealing with similar triangles.

40 Pliers to cut wire or sheet metal 15

But now I want to continue with the 45 45 90 triangles.

Like a lot of parents, our kids are something like Bermuda Triangles.

If AB is congruent to DE then we definitely have congruent triangles.

What's useful is if you know something that gives you an intuition about triangles.

We're given a bunch of lines here that intersect in all different ways and form triangles.

This almost is just a very good trigonometry and integration review.

So he cuts out ten triangles instead of nine, and then glues the first to the last.

Once again, we can draw our triangles inside of this pentagon

I think you're going to learn a little bit about 30, 60, 90 triangles now.

They mean that these are right angles or they have a measure of 90 degrees

So the sum of its interior angles are going to be 3 times 180, because it has 3 triangles in it.

In this case you have 1, 2, 3 triangles 3 times 180 degrees is equal to what?

They are congruent triangles.

If you had similar triangles, then you could also have different side measures.

If you're congruent, you have similar triangles but they also have the same side lengths.

For example, let's take this beautiful wall with the triangles with a little twist on them.

And then you could actually make a very strong argument that these are similar triangles.

Now, if we take an altitude...

OK, maybe they assume that you already do know something about 30, 60, 90 triangles.

Let me see how I can do this without resorting to just the definition of 30, 60, 90 triangles.

And once you memorize 30, 60, 90 triangles, you don't have to go through all this.

Just start with a paper strip, fold it into equilateral triangles, and you'll need nine of them, and you fold them around into this cycle and make sure it's all symmetric.

So, if I have an S sided polygon, I can get S minus two triangles that perfectly cover that polygon

Because when I keep saying 30, 60, 90 triangles, we know that this right here is 60 degrees.

If you break it up into triangles, this angle plus that angle plus that angle has to be equal to 180.

We have also formed a number of growth triangles straddling the adjacent territories of three or more member countries.