Respuesta :

AB=12 because medians bisect the opposing side of a vertex.

Answer:

AB = 12 units                    

Step-by-step explanation:

We are given the following information in the question:

DB is the median of the triangle.

AC = 24 units

Property of median of a triangle:

  • A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.
  • Thus, a median divides the side of triangle in two equal parts.

Thus, DB divides AC in two equal parts.

Thus, we could say:

AB = BC

We have to find the length of AB.

[tex]\text{AB} = \displaystyle\frac{AC}{2} = \frac{24}{2} = 12\text{ units}[/tex]

Thus, AB is 12 units.