Midsegment of a Triangle | MathHelp.com - Free Educational videos for Students in K-12

Midsegment of a Triangle | MathHelp.com - By MathHelp.com

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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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