Question

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

Answer 1

Answer:

$2\sqrt{5}$

Step-by-step 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.

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$d = \sqrt{(7 - 3)^2 + (2 - 4)^2}$

$d = \sqrt{(4)^2 + (-2)^2}$

$d = \sqrt{16 + 4}$

$d = \sqrt{20}$

$d = \sqrt{4 \times 5}$

$d = \sqrt{4} \times \sqrt{5}$

$d = 2\sqrt{5}$