Question

find the distance between the two points in simplest radical form.
(3,-8) and (8,4)

Answer 1

Answer:

13

Step-by-step explanation:

The way to find the distance between two points on the coordinate plane is to use the distance formula, which is basically a way of applying the Pythagorean Theorem.

The distance formula is $\sqrt{(x_{1}- x_{2} )^2 + (y_{1}- y_{2})^2}$. Let's say the coordinate (3, -8) is (x1, y1) and the coordinate (8, 4) is (x2, y2). We can plug these values into the formula:

$\sqrt{(3- 8 )^2 + (-8 - 4)^2}\\\sqrt{(-5)^{2} + (-12)^{2}} \\\sqrt{25+144} \\\sqrt{169} \\13$

So, the distance between the two points is 13.