So angle angle side orange sorry, orange angle white angle side

Side Angle Side congruency

We have the Orange angle white angle side

So this come straight angle angle side congruency

So, this is from angle side angle congruency

And this comes straight out of angle side angle

Pink angle, side in common and then the green angle

So we can just use SAS, Side Angle Side congruency,

And this comes straight from once again, orange angle white angle side

So, we've just shown by angle side angle that these two triangles are congruent

Now we want to use the same sides white angle yellow side then orange angle

So, we know that this triangle is congruent to that triangle by angle side angle

non labeled to pink to green CBD and this comes out of angle side angle congruency

So, we can write that triangle AMC, AMC is congruent, congruent to triangle BMC, to triangle BMC, by Side Angle Side congruency, Side Angle Side congruency, and so if both, if they are congruent,

And now we have something interesting going on, we have an angle, a side, and an angle

Slip

Slip

So the angle that is opposite this side, this shared side, right over here will be congruent to the corresponding angle in the other triangle.

Triangle ABE is congruent to triangle blue, orange and the last one, CDE by angle side angle congruency

This 90 degree angle kind of opens into this longest side.

The side opposite the right angle, or the 90 degrees, is a hypotenuse, or the longest side.

And then we see that triangle AEC must be congruent to triangle DEB by side angle side

Packing Slip

AF is the side opposite the white angle on BAF triangle BAF

The angle opposite this side would be the same thing as that.

We are bisecting this side over here, this is a right angle.

Triangles, if you look at triangle AMC, you have this side is congruent to the corresponding side on triangle BMC, then you have an angle in between that corresponds to this angle over here, angle AMC, corresponds to angle BMC, and they're both 90 degrees,

It is the side opposite the right angle and it is the longest side of a right triangle.

BBA I'm sorry we started at this angle then we work to this orange angle across the side E that we know is congruent to that side over there

They didn't slip.

Slip Slidin' Away.

I didn't slip.

MERCUTlO The slip, sir, the slip can you not conceive?

The longest side of a right triangle, the side that is opposite the 90 degree angle, is called the hypotentuse.

So, we end up having is that triangle so by angle side angle we have the triangle BAF so our statement number 4

Slip on your shoes.

Slip in the shower?

And that longer side is call the hypotenuse. And in all cases, the hypotenuse is the side opposite the 90 degree angle.

Angle

Angle

angle

angle

Angle

Angle

Angle