Question

1.Find the distance between A(-5, 7) and B(-1,3).​

Answer 1

$4 \sqrt{2}$

Answer 2

Given :

• Points are A ( -5 , 7 ) and B ( -1 , 3 )

To find :

• Distance between A and B .

Solution :

• As we know that :

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

Here ,

• x1 = -5 and y1 = 7

• x2 = -1 and y2 = 3 .

$\implies \: d \: = \sqrt{ {( - 1 - ( - 5))}^{2} + {(3 - 7)}^{2} } \\ \\ \implies \: d \: = \sqrt{ {(4)}^{2} + {( - 4)}^{2} } \\ \\ \implies \: d = \sqrt{16 + 16} \\ \\ \implies \: d = \sqrt{32} \\ \\ \implies \: d \: = 4 \sqrt{2}$

Hence , the distance between A and B is 4√2.