Answer:
8
Step-by-step explanation:
The median is the segment from vertex B to the midpoint of AC. That midpoint (D) is ...
D = (A + C)/2 = ((-6, 7) +(-2, -9))/2 = (-8, -2)/2
D = (-4, -1)
The length of the midpoint is the length of the segment DB between (-4, -1) and (4, -1). These points both have the same y-coordinate, so the length is the difference of x-coordinates: 4 -(-4) = 8.
Lines AB and CD are parallel. Using the given coordinates
The equation of line CD is
Given :
Lines AB and CD are parallel. The coordinates of point A are (-2,5), the coordinates of point B are (6,3),the coordinates of point D are (8,5)
When two lines are parallel then their slopes are equal
Lets find the slope of AB using the given points
A is (-2,5) and B is (6,3)
Find slope using slope formula
Slope of AB is
Slope of AB and CD are same
Slope of CD is
Now we find equation of line CD y=mx+b
Use point slope formula
use the given point D(8,5) and slope m
Substitute the values
The equation of line CD is
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