Question

find distance between the points.A(5,-8) ,B(-7,-3).​

Answer 1

$\huge\purple{Required \: Answer :}$

Distance = 13

$\huge\red{Explanation :}$

Given :

$x_{1} = 5 \: \: \: \\ y_{1} =- 8 \\ x_{2} = - 7 \\ y_{2} = - 3$

To Find :

Distance Between A and B = ?

Formula :

$d = \sqrt{ {{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1} )}^{2} }}$

Solution :

$d = \sqrt{{( - 7 - 5)}^{2} + {(- 3 + 8)}^{2} } \\ d = \sqrt{ {12}^{2} + {5}^{2} } \\ d = \sqrt{144 + 25} \\ d = \sqrt{169} \: \: \: \: \: \: \: \: \: \: \\ d = 13 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\huge\bf{Thanks : ❤}$