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:

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

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

Let's go to the calculations.

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

The answer is 10 uc.