Question

What is the distance between points P(2,7) and Q(10,13)?

Answer 1

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

`\mathsf{d=√((x_Q-x_P)^2+(y_Q-y_P)^2)}`

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

Let's go to the calculations.

`\mathsf{d=√((x_Q-x_P)^2+(y_Q-y_P)^2)}\\\\ \mathsf{d=√((10-2)^2+(13-7)^2)}\\\\ \mathsf{d=√((8)^2+(6)^2)}\\\\ \mathsf{d=√(64+36)}\\\\ \mathsf{d=√(100)}\\\\ \underline{\mathsf{d=10}}`

The answer is 10 uc.