Question

What is the length of segment AB? (1 point)

Coordinate grid shown from negative 8 to positive 8 on both x axis and y axis at intervals of 1. A straight line labeled AB is drawn. A is the ordered pair 0, 6 and B is the ordered pair 7, 0.
Group of answer choices

Square root of 13

Square root of 85

14

13

Answer 1

Square root of 85

Explanation:

We can envision the segment AB as the hypotenuse of a right triangle with a height of 6 units and a length of 7 units. We can use the Pythagorean Theorem to solve for the length of segment AB which is similar to distance formula.

6^2 + 7^2 = c^2

36 + 49 = c^2

c^2 = 85

c = Square root of 85.