Answer:
[tex]C. \: \: 7.07[/tex]
Step-by-step explanation:
Coordinates of B are
[tex](5,5)[/tex]
Coordinates of C are
[tex](4, - 2)[/tex]
Distance between two points
[tex] \sqrt{({x_2 - x _1 {)}^{2} + (y_2 - y_1 {)}^{2} }}[/tex]
Distance of BC
[tex] \sqrt{(4 - 5) {}^{2} + ( - 2 - 5 {)}^{2} } [/tex]
[tex] \sqrt{ { (- 1}^{2}) + ({ - 7}^{2}) } [/tex]
[tex] \sqrt{1 +49 } [/tex]
[tex] \sqrt{50} [/tex]
[tex]7.07[/tex]
