Question

point a has the coordinates(2,5) point B has the coordinates (6,17) how long is segment ab in simplified radical form

Answer 1

`4√(10)`

Explanation:

We have been given that point A has the coordinates(2,5) point B has the coordinates (6,17).

To find the length of segment AB we will use distance formula.

`\text{Distance}=√((x_2-x_1)^2+(y_2-y_1)^2)`

Upon substituting coordinates of point A and point B in distance formula we will get,

`\text{Distance between point A and point B}=√((6-2)^2+(17-5)^2)`

`\text{Distance between point A and point B}=√((4)^2+(12)^2)`

`\text{Distance between point A and point B}=√(16+144)`

`\text{Distance between point A and point B}=√(160)`

`\text{Distance between point A and point B}=4√(10)`

Therefore, the length of segment AB is
`4√(10)`.