Question

find the distance between the following pairs of points (9,4),(6,1)​

Answer 1

$\pink{ \boxed{\boxed{\begin{array}{cc} \leadsto \bf \: Given \: \\ \bf \to two \: points \: are \: \: (9,4) \: \: and \: ( 6,1) \\ \\ \sf \to \: we \: have \: to \: find \: distance(d) \: between \: them\end{array}}}}$

$\pink{ \boxed{\boxed{\begin{array}{cc} \underline{ \sf \downarrow \: Formula \downarrow} \\ \\ \rm \to \: if \: (x_1,y_1) \: \: and \: \: (x_2,y_2) \: are \: two \: points \: \\ \\ \rm \: then \: distance \: between \: them \: : \\ \\ \blue{ \boxed{\bf \: d = \sqrt{ {(x_1 - x_2)}^{2} + {(y_1 - y_2)}^{2} }}} \\ \\ \end{array}}}}$

According to the question,

$\bf \: x_ 1 = 9 \\ \bf \: x_2 = 6 \\ \bf \: y_1 = 4\\ \bf \: y_ 2= 1$

So distance between them :

${ \boxed{\boxed{\begin{array}{cc} \bf \: d = \sqrt{ { \{9- 6} \}^{2} + {(4 - 1)}^{2} } \\ \\ = \sqrt{ {3}^{2} + {3}^{2} } \\ \\ = \sqrt{9 + 9} \\ \\ = \rm \: \sqrt{18} \\\\=3\sqrt{2} \: \: unit \end{array}}}}$