What is the distance between points F(6, 4) and G(14, 19)? Round to the nearest whole number.

Answer 1

sqrt[(14-6)²+(19-4)²]

This is the distance formula...which is really just a form of the Pythagorean theorem.

Answer 2

To find the distance between two points, you can use the distance formula, which is basically a modified version of the Pythagorean theorem.

Distance formula = ( (X1-X2)²+(Y1-Y2)² )^(1/2)

Notice that all of that is in one set of parenthesis, and then being taken to the (1/2) power, which is another way of saying we are taking the square root of whatever answer we get within the parenthesis.

Our points are (6,4) and (14,19)

X2 = 6

Y2 = 4

X1 = 14

Y1 = 19

Putting these numbers in our equation

( (14-6)²+(19-4)² )^(1/2)

( (8)² + (15²)^(1/2)

( (64) + (225)^(1/2)

(289)^(1/2)

So then we take the square root of 289, which is 17

The distance between these two points is 17.