Question

I need to find the distance between (3,4) , (7,2)

Answer 1

`2√(5)`

Explanation:

Use the distance formula.

Subtract the x-coordinates and square the difference.

3 - 7 = -4; (-4)^2 = 16

Subtract the y-coordinates and square the difference.

4 - 2 = 2; 2^2 = 4

Add the differences and take the square root of the sum.

16 + 4 = 20; sqrt(20) = sqrt(4 * 5) = 2sqrt(5)

distance = 2sqrt(5)

You can use the distance formula which does the same thing.

`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

`d = √((7 - 3)^2 + (2 - 4)^2)`

`d = √((4)^2 + (-2)^2)`

`d = √(16 + 4)`

`d = √(20)`

`d = √(4 * 5)`

`d = √(4) * √(5)`

`d = 2√(5)`