Algebra & the Pythagorean Theorem : High School Math Help - By eHow
Transcript
| 00:0-1 | Hi , my name is Maria , I'm a mathematician | |
| 00:05 | , and today I'm going to talk to you about | |
| 00:07 | algebra and the Pythagorean theorem . So the pythagorean theorem | |
| 00:10 | , which is a squared plus B squared equals C | |
| 00:13 | squared , is used in right triangles . And it's | |
| 00:16 | used to show the relationship between the different sides of | |
| 00:18 | a right triangle . And it's really important to be | |
| 00:20 | able to label are right triangle correctly and know which | |
| 00:23 | part is which . So A . And B . | |
| 00:25 | Are always going to be the legs of my right | |
| 00:27 | triangle . When I say legs , I mean the | |
| 00:29 | two sides that form the right angle , so that's | |
| 00:32 | A . And that's B . And they are interchangeable | |
| 00:34 | because these form the right angle , see is called | |
| 00:37 | my hypothalamus . And there's two ways to remember the | |
| 00:40 | hypothesis that you need to know both of them . | |
| 00:42 | One is that it's always gonna be the longest side | |
| 00:44 | of the right triangle , and two is that it's | |
| 00:46 | always going to be a cross from the right angle | |
| 00:48 | . So first you have to make sure you have | |
| 00:49 | your triangle labeled correctly , A . And B . | |
| 00:51 | Being the legs and C . Being the hypotenuse . | |
| 00:53 | Now to use the pythagorean theorem , it depends on | |
| 00:56 | which two sides of the triangle you're given . So | |
| 00:59 | if I'm giving CMB , for example , let's say | |
| 01:01 | I'm told that this is 10 inches and I'm told | |
| 01:04 | that B . Is six inches and I'm asked to | |
| 01:07 | find the value of A . When I go to | |
| 01:09 | substitute into the pythagorean theorem , I have to be | |
| 01:11 | sure that I substitute into the correct variable . So | |
| 01:14 | I don't know A . I'm going to leave me | |
| 01:16 | alone . I do know B . Is six inches | |
| 01:18 | . So I'm gonna write six squared equals C . | |
| 01:22 | Is 10 inches . So I'm gonna write 10 squared | |
| 01:23 | and now I'm just gonna simplify A squared plus 36 | |
| 01:27 | equals 100 . And now this is a two step | |
| 01:29 | equation . I'm gonna subtract 36 from both sides . | |
| 01:32 | And when I do that I'm gonna get a squared | |
| 01:34 | equals 64 . But I'm not done because I have | |
| 01:37 | a squared and I need the I need just A | |
| 01:40 | . So in order to just find A . You | |
| 01:41 | have to do the inverse of squaring which is square | |
| 01:44 | rooting . And when I do that I get A | |
| 01:46 | equals eight . And I love the missing side of | |
| 01:48 | my right triangle is eight inches . Now you just | |
| 01:52 | have to be careful because if you are already given | |
| 01:54 | A . And B , then that's what you're plugging | |
| 01:56 | in and you never have to use inverse operations . | |
| 01:58 | The only thing you have to do is square root | |
| 02:00 | each side at the end of it . So right | |
| 02:02 | , you're pythagorean theorem , label you're right triangle correctly | |
| 02:05 | , substitute correctly and then simplifying . Don't take don't | |
| 02:08 | forget to take the square root at the end . | |
| 02:10 | My name is Maria and I just showed you how | |
| 02:11 | to use the pythagorean theorem |
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