Question

Pretty confused on finding the missing line segment. Please help.

Answer 1

Option (1). 17

Explanation:

Length of a segment having coordinates (x₁, y₁) and (x₂, y₂) is given by the formula,

d =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

Coordinates of points A and C are (4, 3) and (19, 11).

To get the length of segment AC we will substitute the coordinates in the formula,

AC =
`√((19-4)^2+(11-3)^2)`

=
`√((15)^2+8^2)`

=
`√(225+64)`

=
`√(289)`

= 17

Therefore, length of segment AC = 17 units.

Option (1) will be the answer.