what is the length of AB with endpoints A(3,2) and B (8,14)

Use the distance formula, which is √(x2−x1)^2+(y2−y1)^2. The x2 doesnt mean x squared, it's the second x coordinate.

√(3-8)^2+(14-2)^2
√25+144
√169
13

The length of AB is 13.

Hope this helps!

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ColinJacobus ColinJacobus · Answer 2 · 2019-09-09T15:48:32+02:00

Answer: The required length of the given segment is 13 units.

Step-by-step explanation: We are given to find the length of the segment AB with endpoints A(3, 2) and B(8, 14).

We have the following distance formula :

Distance formula : The length of a line segment with endpoints (a, b) and (c, d) is given by

[tex]d=\sqrt{(c-a)^2+(d-b)^2}.[/tex]

Therefore, the length of the segment AB is given by

[tex]AB=\sqrt{(8-3)^2+(14-2)^2}=\sqrt{25+144}=\sqrt{169}=13.[/tex]

Thus, the required length of the given segment is 13 units.