# The Pythagorean Theorem Assignment Answers

Born in Croton, Italy, Pythagoras travelled to many different countries including Greece, Egypt, and India.After moving back to Croton in 530 BC, Pythagoras established some kind of school. It was in late 6 Century BC that Pythagoras started to make important contributions to philosophy and math.If you wish to practice working with the Pythagorean theorem, please feel free to use the math worksheets below.

Born in Croton, Italy, Pythagoras travelled to many different countries including Greece, Egypt, and India.

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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.

In this situation this is the hypotenuse, because it is opposite the 90 degree angle. Let me do one more, just so that we're good at recognizing the hypotenuse. So let's say that C is equal to the length of the hypotenuse. So let's say that I have a triangle that looks like this. And they want us to figure out that length right there. And that's going to be the side opposite the right angle.

So let's say that that is my triangle, and this is the 90 degree angle right there. Now the first thing you want to do, before you even apply the Pythagorean theorem, is to make sure you have your hypotenuse straight.

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The Pythagorean theorem was reportedly formulated by the Greek mathematician and philosopher Pythagoras of Samos in the 6th century BC.This is the reason the Pythagorean equation is named after him.Before we discuss the Pythagorean Theorem and the Pythagorean Theorem worksheet in detail, let’s take a look at who Pythagoras of Samos was and how he came up with the Pythagorean equation.It says that the area of the square whose side is the hypotenuse of the triangle is equal to the sum of the areas of the squares whose sides are the two legs of the triangle.If you write it in the form of an equation, it looks like this: a In this form, the Pythagorean theorem enables you to find the length of any side in a right triangle if you know the other two, as well as to check if a triangle is a right triangle.You make sure you know what you're solving for. And in this circumstance we're solving for the hypotenuse. So now we're ready to apply the Pythagorean theorem. century BC Greek philosopher and mathematician, Pythagoras of Samos is widely credited for bringing the Pythagorean equation to the fore.Though others used the relationship long before his time, Pythagoras is the first one who made the relationship between the lengths of the sides on a right-angled triangle public.In this video we're going to get introduced to the Pythagorean theorem, which is fun on its own. Now we can subtract 36 from both sides of this equation. On the left-hand side we're left with just a B squared is equal to-- now 144 minus 36 is what? Now let's see if we can simplify this a little bit. And what we could do is we could take the prime factorization of 108 and see how we can simplify this radical. But you'll see as you learn more and more mathematics it's one of those cornerstone theorems of really all of math. So 108 is the same thing as 2 times 54, which is the same thing as 2 times 27, which is the same thing as 3 times 9. And so, we have a couple of perfect squares in here. And this is all an exercise in simplifying radicals that you will bump into a lot while doing the Pythagorean theorem, so it doesn't hurt to do it right here.

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