Understanding Geometry | MathHelp.com - By American English
Transcript
| 00:0-1 | to find the value of X . In this example | |
| 00:03 | , our first step is to create a right triangle | |
| 00:07 | by drawing the following perpendicular segment . Now we can | |
| 00:19 | see that X . Is the hype a tennis of | |
| 00:21 | the right triangle that is formed . But we need | |
| 00:25 | to find the lengths of the legs of the right | |
| 00:27 | triangle to find the lengths of the legs notice that | |
| 00:31 | a rectangle is formed on the left side of the | |
| 00:34 | figure , and since opposite sides of a rectangle are | |
| 00:39 | congruent , We know that one of the legs of | |
| 00:42 | our right triangle has a length of 12 to find | |
| 00:47 | the length of the other leg of the right triangle | |
| 00:50 | . Since opposite sides of a rectangle are congruent . | |
| 00:54 | We know that the left part of the segment at | |
| 00:57 | the top of the figure has a length of 14 | |
| 01:01 | . And since the full segment at the top of | |
| 01:04 | the figure has a length of 19 , then the | |
| 01:07 | right part of the segment at the top of the | |
| 01:10 | figure has a length of 19-14 or five . Now | |
| 01:17 | we have the lengths of both legs of the right | |
| 01:20 | triangle , so we can use the Pythagorean theorem to | |
| 01:24 | find the value of X . The pythagorean theorem states | |
| 01:30 | that the sum of the squares of the lengths of | |
| 01:33 | the legs of a right triangle is equal to the | |
| 01:36 | square of the length of the hypotenuse , or a | |
| 01:40 | squared plus B squared equals c squared . So we | |
| 01:48 | have 12 squared plus five squared equals X squared , | |
| 01:58 | solving from here , 12 squared is 144 and five | |
| 02:05 | squared is 25 so we have 144 plus 25 equals | |
| 02:13 | X squared , Or 169 equals x squared . Finally | |
| 02:21 | , we take the square root of both sides . | |
| 02:25 | Yeah , To get 13 equals x right . |
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