Question

Find the distance between the points (1, 7) & (4, 2)​

Answer 1

$\mathsf \red{distance \: between \: \: \: A(x_{1} , y_{1}) , B(x_{2} , y_{2}) \: \: points : } \\ \\ \boxed{ \mathsf \blue{d \: = \: \sqrt{ {(x_{2} -x_{1} )}^{2} + {(y_{2} - y_{1})}^{2} } }}$

$\mathsf \red{distance \: between \: \: \: A(1 , 7) , B(4,2) \: \: points : } \\ \\ \mathsf{d \: = \: \sqrt{ {(4 -1 )}^{2} + {(2 - 7)}^{2} } } \\ \\ \mathsf{d \: = \: \sqrt{ {(3 )}^{2} + {( - 5)}^{2} } } \\ \\ \mathsf{d \: = \: \sqrt{ 9 + 25 } } \\ \\ \mathsf{d \: = \: \sqrt{ 34 } \: \: uni ts}$