00:01
We need to answer the following.
00:01
So what do you call the segment that joins the midpoints of two sides of a triangle? so since it's connecting the two midpoints, it can't be a midpoint, it can't be a hypotenuse, and it can't be a base, so it's a midline or mid -segment.
00:22
What theorem states that the segment that the segment that joins the midpoints of two sides of a triangle is parallel to the third side.
00:31
So that's the triangle midline theorem.
00:34
How long is the midline of a triangle of the third side, which is parallel, measures 32.
00:40
So the midline is always half of the side that's its parallel to.
00:44
So that's going to be 16.
00:46
So we need to find the length of the third side of the triangle, given the following information.
00:53
So that's, i think that's 18.
01:00
18 times two.
01:03
Is equal to 3x plus 6 because it takes two of the mls to make an og.
01:12
So this is 36 is equal to 3x plus 6.
01:15
We move the 6 over.
01:17
That's 30 is equal to 3x.
01:19
So x is equal to 10.
01:22
So we need to find the length of the mid segment.
01:29
Oh, i'm doing 5 actually.
01:31
Find the value of x.
01:33
So that's this one.
01:34
So let's go back to number four.
01:37
So find the length of the third side of the triangle if midline measures 24.
01:42
So if the midline measures 24, you have to double it to go to the opposite side.
01:48
So that's going to be 48.
01:52
So question number six, which theorem states that the segment that joins the midpoints of two sides of a triangle is parallel to the third side and half is long? that's the triangle midline theorem.
02:07
So we need to find the length of the third side if it's midline measures 45.
02:12
So we're going from the midline to the opposite side.
02:14
So you double it.
02:16
So that's 90.
02:17
So then we have the third side of a triangle measures 3x minus 5...