Question

DB is a median of ACD. Find x if AB = 2x – 5 and BC = x + 3.

Answer 1

For the triangle:

If DB is the median of the triangle, then B is the midpoint of AC, meaning that AB and BC have the same size (they are congruent), so:

$2x-5=x+3$

We just have to solve for x:

$\begin{gathered} 2x-x=5+3 \\ x=8 \end{gathered}$

The answer is x = 8