Question

find the distance between the following pairs of points with steps ( 1,0),(-1,2)​

Answer 1

$\pink{ \boxed{\boxed{\begin{array}{cc} \leadsto \bf \: Given \: \\ \bf \to two \: points \: are \: \: (1,0) \: \: and \: ( - 1,2) \\ \\ \sf \to \: we \: have \: to \: find \: distance(d) \: between \: them\end{array}}}}$

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

According to the question,

$\bf \: x_ 1 = 1 \\ \bf \: x_2 = - 1\\ \bf \: y_1 = 0\\ \bf \: y_ 2= 2$

So distance between them :

$\orange{ \boxed{\boxed{\begin{array}{cc} \bf \: d = \sqrt{ { \{1 - ( - 1)} \}^{2} + {(0- 2)}^{2} } \\ \\ \bf = \sqrt{ {2}^{2} + ( { - 2)}^{2} } \\ \\ = \sqrt{ {4 + 4}^{} } \\ \\ = \rm \: \sqrt{8} \\ \\ = \sqrt{4 \times 2} \\ \\ = 2 \sqrt{2} \: \: unit \end{array}}}}$