Question

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

Answer 1

13

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:

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

So, the distance between the two points is 13.