Question

Find the distance between the co-ordinate of the points A(2, 3) and B(10,-3).​

Answer 1

$\bullet~~(x_1,y_1) = (2,3)$

$\bullet~~(x_2,y_2) = (10,-3)$

Distance between the point A and B is:

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

$\leadsto~~\sqrt{ {(10- 2)}^{2} + {(-3-(3))}^{2} }$

$\leadsto~~\sqrt{ 8^2 + (-6)^{2} }$

$\leadsto~~\sqrt{100 }$

$\leadsto~~10$

10 ( units) is the distance between the points

Answer 2

Step-by-step explanation:

Given,

A(2,3)

B(10,-3)

To find:

Distance between A(2,3) and B(10,-3)

Solution:

Here we have to use distance formula

$\sqrt{x2 - x1 + y2 - y1}$

here ,

x1=2

x2=10

and

y1=3

y2=-3

[tex] \sqrt{( {10 - 2)}^{2} + ( { - 3 - 3)}^{2} } = \sqrt{ {8}^{2} + { - 6}^{2} } = \sqrt{64 + 36 } = \sqrt{100}

hence distance between AB=10