Hi, everybody. Welcome back to my podcast starring your very on Miss Mendoza. Um, hope you guys are having a great day because it's a great day to have a great day. In today's episode, we are going to be touching on a specific topic, which is the Pythagorean Theorem. I'm not too sure if any of you guys have ever heard of this or seen it. But this is just an introduction to a lesson that we will be getting into next time. I see you guys. I want you guys to be familiar with this. enough that when I see you next time, you guys are Oh, yeah, Miss. Mendoza talked about this on her podcast that she told us to watch. So I don't want you guys to come into class and be like, What the heck is it but I read them what you know, I want you guys to just get a feel for it. Alright, so what is the Pythagorean Theorem? What's it used for? Why do we need to learn this? These are all questions I'm sure you guys are all having right now. So the Pythagorean theorem itself is... The theorem itself proves that a squared plus b squared is going to equal c squared. Now we use this theorem in order to find the missing side of a right triangle. In terms of the right triangle, we know that a right triangle is has a 90 degree angle, and it is made up the triangle is made up of two sides that form this angle, and then is closed off by the longer side, which is called the hypothesis. Now the hypothesis will always like I said, Be your longest side of the right triangle. If you have trouble memorizing that, an easy way to know is that whenever you draw your right triangle, you can draw as an L. So you know that first l when you draw your triangle will be your two legs. When you finish off closing that triangle, that will always be your hypothesis. It won't always be like that sometimes the right triangle will be flipped switched. You guys know the drill. So how do you use the theorem itself? Good question. There are a few steps. First, you have to identify your A, B and C, you have to plug a b and c into the theorem itself and simplify the equation. Now, usually this is used to find your high partners, which is your c but not all always will this be true. Sometimes they'll ask you to find a or b. So I hope you guys have a pencil and paper handy right next to you because I'm going to give you guys an example. And I hope you guys can follow along. So we have a right triangle, right. And we have one leg is six, and the other leg is seven. Now we're looking for the high part news, which is C. So in terms of the missing side, we're going to put this, your values a and b and c into the theorems. So A is going to equal six, B is going to equal seven, and your missing angle C is going to be x. So we have six squared plus seven squared is equal to x squared. So once you've simplify those values, you have six squared being 36 plus seven squared being 49. add those two together. 36 plus 49 is going to equal what 85. So your equation is now going to look like 85 is equal to x squared. Now, what do we do after this? So in order to find x, we have that x square. So we're going to have to find the square root of 85 in order to take that square off of x. When we do that we have x is equal to the square root of 85. Now I want you guys to simplify these out. So when that is simplified out, plug it into your calculator. X is going to equal approximately 9.22. So that will be your guys's answer, you have a B, sorry, A and B, A A six, B A seven and then your C which we just found is going to equal 9.22. Now, you can always double check your work as well. You can plug it back into the equation
make sure everything equals each other. But that being said, we are now ending this session Episode Is it was a very short episode into Pythagorean theorem. Like I said next time we see each other, we will dig deeper into the lesson itself into Pythagorean theorem. So make sure to be aware of that and know that this was a little introduction to it. I'll see you guys soon and hope you guys have a great rest of your day. Thanks
