The point C will be the mid-point of AB. Then the length AC is equal to the length CB.
Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point C (x, y) divide the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
Write a proof that shows that the distance of point C from endpoint A is the same as the distance of point C from endpoint B.
Then the value of m:n will be
m:n = 1
m = n
Then the point will be
x = (x₂ + x₁) / (2)
y = (y₂ + y₁) / (2)
Then the point C will be the mid-point of AB.
Then the length AC is equal to the length CB.
More about the section of the line link is given below.
https://brainly.com/question/6582647
#SPJ1