Question

Could someone tell me what the distance between points A(-6,-8) B(6,8) would be.

Answer 1

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

`\mathsf{d=√((x_B-x_A)^2+(y_B-y_A)^2)}`

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

Let's go to the calculations.

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

The answer is 20 u.c.