*Learn with extra-efficient algorithm, developed by our team, to save your time.The Pythagorean theorem was reportedly formulated by the Greek mathematician and philosopher Pythagoras of Samos in the 6th century BC.*

If you're seeing this message, it means we're having trouble loading external resources on our website. So that's what B squared is, and now we want to take the principal root, or the positive root, of both sides. So the length of B, you could write it as the square root of 108, or you could say it's equal to 6 times the square root of 3. And the square root of 3, well this is going to be a 1 point something something.

If you're behind a web filter, please make sure that the domains *.and *.are unblocked. So that's why it's always important to recognize that A squared plus B squared plus C squared, C is the length of the hypotenuse. So we get 6 squared is 36, plus B squared, is equal to 12 squared-- this 12 times 12-- is 144. And you get B is equal to the square root, the principal root, of 108. So this is the square root of 36 times the square root of 3. So it's going to be a little bit larger than 6.

And before I show you how to do that, let me give you one more piece of terminology. And the way to figure out where that right triangle is, and kind of it opens into that longest side. And it's good to know, because we'll keep referring to it. And we could take the positive square root of both sides. And then we could say that these sides, it doesn't matter whether you call one of them A or one of them B.

The longest side of a right triangle is the side opposite the 90 degree angle-- or opposite the right angle. And just so we always are good at identifying the hypotenuse, let me draw a couple of more right triangles. I guess, just if you look at it mathematically, it could be negative 5 as well. Let's say this side over here has length 12, and let's say that this side over here has length 6.

Over the years, many engineers and architects have used Pythagorean Theorem worksheet to complete their projects.

A simple equation, Pythagorean Theorem states that the square of the hypotenuse (the side opposite to the right angle triangle) is equal to the sum of the other two sides.

It's useful in geometry, it's kind of the backbone of trigonometry. So we have the square root of 108 is the same thing as the square root of 2 times 2 times-- well actually, I'm not done. So this is the same thing as the square root of 2 times 2 times 3 times 3 times the square root of that last 3 right over there. And, you know, you wouldn't have to do all of this on paper.

You're also going to use it to calculate distances between points. So if we have a triangle, and the triangle has to be a right triangle, which means that one of the three angles in the triangle have to be 90 degrees.

This means that the triangle in question is indeed a right triangle.

These are just some of the numerous uses of the Pythagorean theorem.

## Comments The Pythagorean Theorem Assignment Answers

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