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

User MrBlue
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1 Answer

5 votes

Answer:


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).

User Sclarson
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8.1k points

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