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{(5-2)^2+(9-3)^2}}\\\\ \mathsf{d=\sqrt{(3)^2+(6)^2}}\\\\ \mathsf{d=\sqrt{9+36}}\\\\ \mathsf{d=\sqrt{45}}\\\\ \mathsf{d=6.7082039324993690892275210061938...}\\\\ \underline{\mathsf{d\approxeq6.7}}[/tex]
The answer is 6.7 uc.
