The points A and B have coordinates $$ (6,1) $$ and $$ (-2,7) $$ respectively. Find the length of AB . (2 marks) $$ A B=\square $$

Question

UpStudy AI · Accepted Answer

To find the length of segment $$ AB $$ with points $$ A(6, 1) $$ and $$ B(-2, 7) $$, use the distance formula:

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

Substitute the coordinates:

$$
AB = \sqrt{(-2 - 6)^2 + (7 - 1)^2} = \sqrt{(-8)^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10
$$

$$
AB = 10
$$
The length of AB is 10.

The points A and B have coordinates \( (6,1) \) and \( (-2,7) \) respectively. Find the length of AB . (2 marks) \( A B=\square \)