Midsegment of a Triangle | MathHelp.com - By MathHelp.com
Transcript
00:0-1 | in this example we're given that Q . Is the | |
00:04 | midpoint of segment pr and that T . Is the | |
00:08 | midpoint of segment PS . And we're asked to find | |
00:13 | the values of X . And Y . To find | |
00:17 | the value of X . If Q . Is the | |
00:20 | midpoint of segment pr then we know that the length | |
00:24 | of segment PQ equals the length of segment Q . | |
00:29 | R . Or five . X plus two . Yeah | |
00:34 | equals 12 . Subtracting two from both sides . Yeah | |
00:41 | . Yeah Gives us five . X equals 10 And | |
00:48 | dividing both sides by five . Yeah . We find | |
00:53 | that x equals two . Yeah . Yeah . To | |
00:59 | find the value of why notice that segment Q . | |
01:03 | T . Joins the mid points of two of the | |
01:06 | sides of triangle P . R . S . And | |
01:11 | remember that if a segment joins the mid points of | |
01:15 | two sides of a triangle Then it measures half the | |
01:19 | length of the 3rd side . So the length of | |
01:23 | segment Q . T equals half the length of segment | |
01:27 | R . S . Or two . Y -6 equals | |
01:34 | half of 28 Simplifying on the right side , half | |
01:41 | of 28 is 14 , so we have to y | |
01:46 | -6 equals 14 And adding 6 to both sides . | |
01:54 | Yes , We have two . Y equals 20 And | |
01:59 | dividing both sides by two . We find that why | |
02:06 | equals 10 . |
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