So what does the triangle inequality tell us?

I haven't used the triangle inequality or anything.

But here now, if I put little parentheses here, now I can apply the triangle inequality.

Well the triangle inequality, and this might seem a little mundane to you, but it really shows us that we can always define a regular planar triangle based on these vectors in this way.

This is going to be, by the triangle inequality, which we've proved, it's going to be less than or equal to the

Now by the triangle inequality, we know that this is less than or equal to the length of vector a plus the

So what I'm going to do is I'm going to use the triangle the vector triangle inequality to prove that each of these sides is less than or equal to the sum of the other sides.

Triangle AMO is a right triangle

Triangle FGI must be an obtuse triangle.

Triangle HlG, must be an acute triangle.

Triangle

triangle

Triangle

Triangle

Triangle FMG must be congruent to triangle HMG.

We can say that triangle AEB triangle AE

Now, this triangle right here is an isosceles triangle.

Hollow Triangle

Filled Triangle

Unfilled Triangle

smooth triangle

Equilateral Triangle

That triangle.

Triangle DAB.

Triangle BEC

Patient Triangle.

The Triangle?

So this top triangle and this bottom triangle are congruent.

Prove that triangle ABD is congruent to to triangle CBD.

And so by side side side, so by side side side we know, we know that triangle, triangle ABC triangle ABC is congruent to triangle AE

This is one triangle, the other triangle and the other one

So we know that triangle EBG is congruent to triangle ECG

So, then we have triangle AEC must be congruent to triangle

And we could do it on this triangle or this triangle.

one triangle out of that side, one triangle out of that side and then one triangle out of this side

Democratic Inequality

This inequality.

Double Hollow Triangle

Double Filled Triangle

Select this triangle

Remove a Triangle

Add a Triangle

Move a Triangle

Show a Triangle

Hide a Triangle