Question

Which expression gives the distance between the points (2,4) and (5,3)?

Answer 1

Answer: $\sqrt{10}$

Step-by-step explanation:

$d = \sqrt{(x_{2}-x_1)^2 + (y_{2}-y_1)^2 } \\x_2 = 5\\x_1 = 2\\y_2 = 3\\y_1 = 4\\\\\\d = \sqrt{(5-2)^2 + (3-4)^2 } \\\\d = \sqrt{3^2 + 1^2}\\d = \sqrt{10}$