Pythagorean Theorem | MathHelp.com - By MathHelp.com
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| 00:0-1 | to find the value of X . In this example | |
| 00:03 | , notice that we have a right triangle , so | |
| 00:05 | we can use the Pythagorean theorem . The pythagorean theorem | |
| 00:09 | states that the sum of the squares of the lengths | |
| 00:12 | of the legs of a right triangle is equal to | |
| 00:15 | the square of the length of the hypotenuse , or | |
| 00:19 | a squared plus B squared equals c squared where A | |
| 00:27 | and B . Are the lengths of the legs of | |
| 00:29 | the right triangle , and C . Is the length | |
| 00:31 | of the hypotenuse . So here , since the legs | |
| 00:35 | of the right triangle have length six and eight , | |
| 00:38 | and the hypotenuse has a length of X , we | |
| 00:41 | can set up the equation six squared plus eight squared | |
| 00:47 | equals x squared simplifying from here , six squared is | |
| 00:53 | six times six or 36 8 squared is eight times | |
| 00:58 | eight or 64 . So we have 36 plus 64 | |
| 01:04 | equals x squared . Next 36 plus 64 is 100 | |
| 01:11 | , And we have 100 equals x squared . Now | |
| 01:16 | to get X by itself , since x is squared | |
| 01:19 | , we take the square root of both sides of | |
| 01:21 | the equation . On the right , the square root | |
| 01:25 | of X squared is X . And on the left | |
| 01:29 | , since 100 is the perfect square 10 times 10 | |
| 01:33 | , the square root of 100 is 10 , So | |
| 01:36 | 10 equals x . Notice that we don't use plus | |
| 01:43 | or minus 10 because X represents the length of the | |
| 01:46 | hypotenuse of the triangle , which cannot be negative , | |
| 01:50 | So the value of X is 10 . |
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