Question

A line joins the points A (–2, –5) and B (4, 13).
(a) Calculate the length AB.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The length of AB is 18.9 unit.

Step-by-step explanation:

Given : A line joins the points A (–2, –5) and B (4, 13).

To find : Calculate the length AB ?

Solution :

The distance formula between two point is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Here, $(x_1,y_1)=(-2,-5)\ (x_2,y_2)=(4,13)$

Substitute the value,

$d=\sqrt{(4-(-2))^2+(13-(-5))^2}$

$d=\sqrt{(6)^2+(18)^2}$

$d=\sqrt{36+324}$

$d=\sqrt{360}$

$d=18.9$

Therefore, the length of AB is 18.9 unit.

#Learn more

A line joins the points A (–2, –5) and B (4, 13).

(d) Find the equation of the perpendicular bisector of AB.

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