Calculate the length, in units, of the diagonal between point A and point B as shown.

PT 1.PNG

Group of answer choices

13.45 units

181 units

19 units

4.36 units

1 answer

To calculate the length of the diagonal between points A and B, we can use the Pythagorean Theorem since these points form a right triangle.

The distance between points A and B along the x-axis is 5 units.
The distance between points A and B along the y-axis is 12 units.

Using the Pythagorean Theorem:
diagonal length = sqrt(5^2 + 12^2)
diagonal length = sqrt(25 + 144)
diagonal length = sqrt(169)
diagonal length = 13 units

Therefore, the length of the diagonal between point A and point B is 13 units.

None of the given answer choices match this calculation exactly, but the closest one is 13.45 units.