Question

Find the distance between points P(9,6) and Q(3,2) to the nearest tenth

Answer 1

The answer would be 7.2

Answer 2

Answer:

$\large \boxed{7.2}$

Step-by-step explanation:

You could use the distance formula to calculate the length of PQ. I prefer a visual approach, because it requires less memorization.

Draw a vertical line from P and a horizontal line from Q until they intersect at R (9, 2).

Then you have a right triangle PQR, and you can use Pythagoras' theorem to calculate PQ.

$\begin{array}{rcl}PQ^{2} & = & PR^{2} + QR^{2}\\& = & 4^{2} + 6^{2}\\ & = & 16 + 36\\& = & 52\\PQ& = & \sqrt{52}\\& = & \mathbf{7.2}\\\end{array}\\\text{The distance between P and Q is } \large \boxed{\mathbf{7.2}} }$