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

60 squared plus 32 squared is equal to x squared.

Pythagorean theorem.

And when I say the shorter side, I mean relative to the hypotenuse.

The hypotenuse will always be the longest side.

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

He even taught me the Pythagorean theorem.

Maybe we can call that we'll call that c.

It is the longest side.

And what the Pythagorean theorem tells us is that the sum of the squares of the shorter sides is going to be equal to the square of the longer side, or the square of the hypotenuse.

Maybe the base of the triangle right over here is 4. and then the hypotenuse of the triangle over here is 5.

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

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

let me show you a little bit of a montage.

And the Pythagorean Theorem tells us that the sum of the squares of the shorter side will be equal to the square of the hypotenuse, so the square of the longer side.

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

You only have a hypotenuse when you have a right triangle.

So I don't waste your time.

In general, if I have just any parallelogram this is kind of a tilted one, but if I just have any parallelogram, let me just draw any parallelogram right there the area is just equal to the base so that could be the base times the height.

Slanted

Slope

Skew

This long side, the side that is the longest side of our right triangle, the side that is opposite of our right angle, this right here it's c in this example this is called a hypotenuse.

The more we go down in this situation, for every step we move to the right, the more downward sloping we'll be the more negative of a slope we'll have. so that's slope.

And you can verify that this right triangle the sides work out we know from the Pythagorean theorem, that 3 squared plus 4 squared, has got to be equal to the length of the longest side, the length of the hypotenuse squared is equal to 5 squared so you can verify that this works out that this satisfies the Pythagorean theorem.

After skew

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Size Backslash

X Tilt

Y Tilt

And all that tells us is it the sum of the squares of the shorter sides of the triangle are going to be equal to the square of the longer side.

It is always going to be the longest side of our right triangle.

So we know that a squared plus 3 squared is equal to the hypotenuse squared, the side opposite the 90 degree angle.

The sum of the squares of these two sides are going to be equal to 14 squared, the hypotenuse squared.

Low slope

High slope

1 Staple, diagonal

Pythagorean theorem, x squared plus 2 squared is equal to 5 squared because 5 is the hypotenuse. x squared plus 4 is equal to 25, subtract 4 from both sides. x squared is equal to 21.

let me show you a little bit of a montage.

Cross eyed people hate cutting their grass slanted.

One Staple Angled

At 0 comma 3.

So we get w squared, this side squared. plus 7 squared, this other side squared, is going to be equal to the hypotenuse squared, square root of 74 squared.

Let's just draw a hexagon and count the triangles in it.

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