Question

Find the length of segment EK and the coordinates of its midpoint if E(13,8) and K(7,2) Round to the

nearest tenth

Answer 1

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)