For us to determine the friends that live exactly halfway between any two other friends, we need to determine the midpoint of any two of the coordinates and check whether the coordinate gotten is any of other people coordinates.

Using the coordinates B (22,5) and Ju (4,5), Using the mid point formula;

m(X,Y) = $(\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})\\$

X = $\frac{x_2+x_1}{2}$

X = $\frac{22+4}{2}$

$X = \frac{26}{2}\\ X = 13$

$Y =\frac{y_2+y_1}{2}\\Y = \frac{5+5}{2}\\Y = \frac{10}{2}\\Y = 5$

$(X, Y) = (13, 5)$

Hence the friend that live half way of B (22,5) and Ju (4,5) is J(13, 5)

Similarly as above, using the coordinates of M (11,5) and A (31,5)

X = (11+31)/2

X = 42/2

X = 21

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends is (21, 5)

Hence the friend that live half way of M (11,5) and A (31,5) is Ma(21, 5)

Also, using the coordinates of J (13,5) and A (31,5)

X = (13+31)/2

X = 44/2

X = 22

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends J and A is (22, 5)

Hence the friend that live half way of J (13,5) and A (31,5) is B(21, 5)

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3 years ago