10th grade math | MathHelp.com - By MathHelp.com
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| 00:0-1 | So let's say we're given a triangle with two congruent | |
| 00:04 | angles , sides with lengths of three X minus six | |
| 00:09 | , X plus eight and X plus 10 . And | |
| 00:13 | we're asked to find the value of X . Remember | |
| 00:17 | that the converse of the Isosceles triangle theorem states that | |
| 00:21 | if two angles of a triangle are congruent , then | |
| 00:25 | the sides opposite those angles are congruent . So here | |
| 00:31 | since we have two congruent angles , then the sides | |
| 00:35 | opposite those angles , the three X minus six and | |
| 00:40 | the X plus 10 must also be congruent . So | |
| 00:45 | we can set up the equation three x -6 equals | |
| 00:52 | X plus 10 , solving from here . We first | |
| 00:57 | subtract X from both sides to get to X -6 | |
| 01:06 | equals 10 , and adding 6 to both sides Gives | |
| 01:13 | us two x equals 16 and dividing both sides by | |
| 01:19 | two , We find the x equals eight . Sure | |
| 00:0-1 | . |
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