Answer:
Step-by-step explanation:
Given the coordinates E(13,8) and K(7,2), to get the length of the segment EK, we will use the formula for calculating the distance between two points expressed as:
D = √(x2-x1)²+(y2-y1)²
Given
x1 = 13, y1 = 8, x2 = 7, y2 = 2
EK =√(7-13)²+(2-8)²
EK = √(-6)²+(-6)²
EK = √36+36
EK = √72
EK = √36×√2
EK = 6√2
EK = 8.485
EK ≈8.5 (to the nearest tenth)
Hence the length of segment EK is 8.5
For the midpoint, the expression will be used
M(X,Y) = {(x1+x2)/2, (y1+y2)/2}
M(X,Y) = (13+7/2, 8+2/2)
M(X,Y) = (20/2, 10/2)
M(X,Y) = (10,5)
Hence the coordinates of its midpoint is (10,5)
