Triangle Angle Bisector Theorem | MathHelp.com - By MathHelp.com
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| 00:0-1 | here were asked to use the diagram shown to find | |
| 00:04 | the value of X . Notice that we have a | |
| 00:08 | ray that bisects and angle of the large triangle , | |
| 00:12 | so according to the triangle angle by sector theorem , | |
| 00:16 | the ray divides the opposite side of the triangle into | |
| 00:21 | segments that are proportional to the other two sides . | |
| 00:26 | So we can set up the proportion X is 2 | |
| 00:30 | 30 -1 as 21 is to 24 . So we | |
| 00:36 | right X over 30 -1 equals 21/24 . And solving | |
| 00:47 | from here we have x times 24 or 24 x | |
| 00:54 | equals 30 minus X times 21 or 21 parentheses , | |
| 01:01 | 30 minus X . Our next step is to distribute | |
| 01:06 | on the right side and we have 24 x equals | |
| 01:12 | 630 -21 x . And adding 21 x to both | |
| 01:19 | sides . Mhm . Yeah , gives us 45 x | |
| 01:27 | equals 630 And dividing both sides by 45 . Yes | |
| 01:36 | . Yeah . We find that x equals 14 . | |
| 01:42 | Yeah . |
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