Respuesta :

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:


[tex]\mathsf{d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}[/tex]



"d" represents the distance and coordinates are expressed as follows: (x, y)


Let's go to the calculations.


[tex]\mathsf{d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}\\\\ \mathsf{d=\sqrt{(6-(-6))^2+(8-(-8))^2}}\\\\ \mathsf{d=\sqrt{(6+6)^2+(8+8)^2}}\\\\ \mathsf{d=\sqrt{(12)^2+(16)^2}}\\\\ \mathsf{d=\sqrt{144+256}}\\\\ \mathsf{d=\sqrt{200}}\\\\ \underline{\mathsf{d=20~u.c}}[/tex]



The answer is 20 u.c.