Question

Find the length of AB given that DB is the median of the triangle and AC equals 26

Answer 1

its a 13

Explanation:

i took it

Answer 2

Answer:
`AB=13`

Explanation:

The missing figure is attached.

For this exercise it is important to remember the definition of a "Median of a triangle".

A median of a triangle is defined as a line segment that joins a vertex of the triangle to the midpoint of the opposite side. Then, there are three medians in a triangle.

The point in which all the medians intersect is called "Centroid".

In this case know that "DB" is a median of the triangle ACD. Then, it divides the lenght "AC" into two equal parts. This means that:

`AB=BC=(AC)/(2)`

According to the data given in the exercise, you know that:

`AC=26`

Then, subsitituting this value into the equation wrote above, you get that:

`AB=BC=(26)/(2)\\\\AB=BC=13`