Question

Triangle ABC has vertices of A(-6, 7), B(4, -1), and C(-2, -9). Find the length of the median from ZB in triangle ABC

A. 4
B. 18
C. 8
D. 768
Please select the best answer from the choices provided
Ο Α
D

Answer 1

9514 1404 393

Answer:

C. 8

Explanation:

The median from vertex B is the line segment between there and the midpoint of side AC. That midpoint is ...

D = (A +C)/2 = ((-6, 7) +(-2, -9))/2 = (-8, -2)/2 = (-4, -1)

So, we want the length of the line between (-4, -1) and (4, -1). These points are on the same horizontal line (y=-1), so the length is the difference of the x=coordinates:

median AD = 4 -(-4) = 8 . . . . units in length