Problema Solution
for the pair of points find the distance between them and the midpoint of the line segment joining them. (11,-1) and (2,11)
Answer provided by our tutors
The given points are A(11, -1) and B(2, 11).
The distance between the points d(A, B) is:
d(A, B) = √((2 - 11)^2 + (11 - (-1))^2)
d(A, B) = √(81 + 144)
d(A, B) = √225
d(A, B) = 15
The middle point M(m1, m2) has the following coordinates:
m1 = (1/2)(11 + 2)
m1 = 6.5
m2 = (1/2)(-1 + 11)
m2 = 5
The midpoint is M(6.5, 5).