Question

Question 4(Multiple Choice Worth 4 points)
What is the length of segment AB?

A coordinate plane is shown. Point A is located at 0, 12, and point B is located at 5, 0. The two points are connected by a line segment.

10
12
13
15

Answer 1

Using the Pythagorean Theorem, we can find the length of the hyponteuse.
One leg is 5 units long, the other is 12 units.

$ab = \sqrt{ {12}^{2} + {5}^{2} } \\ = \sqrt{144 + 25} \\ = \sqrt{169} \\ = 13$
The length of AB is 13 units