Question

Find the distance between the points E(3, 7) and F(6, 5). The exact distance between the two points is .

Answer 1

Answer:

$\sqrt{13}$

Step-by-step explanation:

The trick here is to know the distance formula (a formula that helps you find the distance between two points).

Distance formula: distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

But now that we know this, we can simply plug in our values and solve!

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\sqrt{(6-3)^2+(5-7)^2}\\\sqrt{(3)^2+(-2)^2}\\\sqrt{9+4}\\\sqrt{13}$

Now we can tell from our answer that the distance between both points is $\sqrt{13}$