Question

Find the distance between points (1, 2) and (5, 9). Show all work.

Answer 1

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

`\mathsf{d=√((x_2-x_1)^2+(y_2-y_1)^2)}`

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

Let's go to the calculations.

`\mathsf{d=√((x_2-x_1)^2+(y_2-y_1)^2)}\\\\ \mathsf{d=√((5-1)^2+(9-2)^2)}\\\\ \mathsf{d=√((4)^2+(7)^2)}\\\\ \mathsf{d=√(16+49)}\\\\ \mathsf{d=√(65)}\\\\ \mathsf{d=8.06225774829854...}\\\\ \underline{\mathsf{d\approxeq8.06}}`

The answer is 8.06 uc.