Question

In triangle ABD, AC is a median. The value of AC is?

Answer 1

Step 1

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.

Therefore,

$\begin{gathered} Since\text{ C is the midpoint, }\bar{\text{DC}}\text{=}\bar{\text{CB}}\text{ } \\ 28=x+2 \\ x=28-2 \\ x=26 \end{gathered}$

Step 2

Find the value of Line AC the median.

$\begin{gathered} \bar{AC}=x+8 \\ \bar{AC}=26+8=\text{ 34} \end{gathered}$

Hence, the value of line AC is 34