Question

Find the distance between the pair of points. Also, find the midpoint of the line segment joining them.

​

Answer 1

• distance 10
• midpoint (-8+2.5√3, 10.5)

Explanation:

The distance formula can be used to find the distance:

d = √((x2 -x1)^2 +(y2 -y1)^2) = ((-8+5√3 -(-8))^2 +(13 -8)^2) = √(75 +25)

d = 10

The distance between the points is 10.

___

The midpoint formula can be used to find the midpoint:

M = (A +B)/2 = (-8 -8 +5√3, 8 +13)/2

M = (-8 +2.5√3, 10.5) . . . . the midpoint