Okay, on this one here, okay, in the previous section we wanted to find the hypothesis side See, but now what happens if we want to find, let's say in this example, side a, well, if I gave you an equation here side A equals c squared minus b squared, and I have to find the square root of that. Basically, it's very similar to finding the high pot noose or side See, the only difference really is we do a subtraction instead of an addition. So if we want to find side A here, okay, I just plug in. So side C is 13. Side B is 12. We got to find 13 squared minus 12 squared and when Do the math.

13 Squared is 169. And when I do the math, 12 squared is 144. If I subtract 169 minus 154, I get 25. The square root of 25 is five and that's my answer. So A is five. That's it.

Okay. So you're probably better off you're gonna use a calculator, step by step. And, and, and it's pretty much easy. So Well, that's it. So let's, let's go on to the next one. All right.

So what I'd like you to do here on this slide is I would like you to find the high pot noose of the right triangle right here. Here are the There's four of them. So do them. And again, the answers will be on the next slide. But, but take the time do them. They shouldn't be that bad.

Use a calculator. And then you'll see what the, what the answers are. Alrighty. Okay, so here are the answers right here. I'm gonna bring the calculator down and do a couple of them. Just to just to demonstrate that it's, it's pretty easy with a calculator.

So let's, let's do that. Now. Let me let me get my calculator down. And there we go. Alright, so now, let's up let's do one or two of these. So let's do this one right here.

And I lost my cane. Let me go back and get it. All righty. So what We're going to do is Okay, first of all you want to use the scientific, I'm using again, I'm using the calculator that is part of the operating system, make sure you, you have the scientific function here, what I'm showing you, and we're going to do the first one, so we know that the formula or what we need to do is a squared plus b squared equals C, and that's what we're looking for. We're looking for C, if you remember the original problem on the previous slide, there was a question mark here. So we know a we know B.

So there we go. So a equals six. So we got to find a squared first. So we use the x squared key, and we got to find b squared. So I'm going to do plus b equals eight. Got a square that now I'm going to hit the equal sign That's 100.

Now I got to find 100, the square root of 100. And there's my answer and there's my answer. All right. Okay, I cleared off the screen. Let's, let's do one more. And let's clear the calculator.

And let's do let's do this one. This one here. All right, so again, we're using this formula. So five, square it. plus five, square it equals the square root of 50 is seven dot 07106. We round it off here to 707.

All right, so we're right. All right, let's clear that. Let's do let's do this one here. All right, let's do the last one. So a equals four, square it plus five is B, we square it, equals, find the square root of 41 six dot 403. We just rounded it to six dot four.

So we're good. All right, on this slide here, we're just going to solve for A, again, one of the side of the sides. In this example, we're going to solve for A if you look up here, I know what C is, which is the hypothesis. News and I know what b is, which is right here. So again, we're going to say so if we want to find a side, we know that a equals c squared minus b squared, and we take the square root of that. So all I do is plug in so I know that 13 is C. And I know that B is 12.

So I say 13 squared minus 12 squared and I get a square first. I do the math. 13 squared is 169 12 squared is 144. soil. Now I subtract 169 minus 144. And I get this square root of 25. I find the square root 25.

And that's five. That's it. So my answer here is five. So we know that A is five alrighty I've got some, some examples for you to do, right there. And the answers are on the next slide and I'll take the calculator down and do a couple. All right to demonstrate that.

All right, we'll see you on the next slide. But But please do these. Okay, let me get my calculator down. There it is. And we're going to let's start off by doing this problem here. And we'll look we will looking for side v. So we're going to use this, this equation there.

And let me get it again if this disappeared again, because I'm trying to do something doesn't like Okay, so now we're going to use this equation. So I'm trying to find the, so it's c squared minus a squared. So what CS cc is 14 dot one Four. So one, four dot one, four. And again, make sure you see the scientific up here, so you can find the proper functions. So what do I want to do?

I want to square that. Okay, now what's the next thing I want to do? I want to subtract a square. Hit the subtract key. What's a? A is 10.

And I have to square it. Now I hit the equals. All right, and now I have I'm looking for the square root of 99 dot 9396. So here's my square root key. I hit it, I get 9.9969. They rounded it off to 10.

That's the correct answer. Okay, let's, I mean, let's do this one. Basically it's going to come out the same because A and B are the same. So let's so here we're going to do, we're going to do this one here. Okay, we're gonna walk, take the calculator down and do this problem right there. And we're looking for site a, so we're going to be using this.

Alright, so let me get let me get my calculator down. Here we go. And again, we want to be in scientific mode right there. All right. So what are we looking for? We're looking for Ray even though I give you the example on the previous slide, we said what say, so we're going to use this one.

So here we go. One, four, dot one four or 14 dot o 14, we need to square it. The x squared. All right, now we want to subtract b squared. So hit the subtract function right there. What's b?

B is 10. square it. Now we have to find the results. So I hit equal. And now we got to find the square root of that is my answer. 9.9969. That's what a equals are.

We, I mean, that's, that's 10. Okay. 9.9969 that's 10. So there's my answer right there. Okay. Okay, let's do one more.

Let's go. Do this one right here, Mike is going to disappear. So let's do that one. And let's get our calculator back and we go, Okay, so we're get we're looking for what side B. So we're going to be using this one here. Alright, so now let's just plug in.

Alright, so we know it's c squared minus a squared, so 4.47 squared. All right, minus a squared, a is two. So two, squared, equals in and now I'm going to find the square root of that. And it's 3.9976. For all intents and purposes, that's four. So there's my answer right there.

Okay, we're good. And that concludes this section on right triangles. We've got one more section. And that's what we call trigonometric functions where we actually find angles and use some trigonometric functions is sine, cosine, and so forth. So we'll see you over there in that lecture.