Question

numbers. For this question, list the points in alphabetical order and any non-integer answers should be entered as a decimal, rounded to the nearest hundredth Use the Pythagorean theorem to determine the distance between point A(-8,8) and point B(-5,1), the distance between point C(2,7) and point D(8,-5), and the distance between point E(3,-7) and point F(-6,-9). The distance between points and is the greatest. The distance is units.​

Answer 1

The distance between points C and D is the greatest. The distance is 13.42 units.

Answer 2

Explanation:

By drawing horizontal and vertical lines, create three right triangles: one with line segment AB as the hypotenuse, one with line segment CD as the hypotenuse, and one with line segment EF as the hypotenuse.

The triangle created with points A and B has one leg that measures 3 units and one that measures 7 units.

The triangle created with points C and D has one leg that measures 6 units and one that measures 12 units.

The triangle created with points E and F has one leg that measures 9 units and one that measures 2 units.

Therefore, the distance between points C and D is the greatest. The distance is 13.42 units.