Geometry question on Trapezoid. The lengths of the bases of a trapezoid are represented by $x-10$ and $3x-8$. Express the length of the median of the trapezoid in terms of $x$.

The median of a trapezoid is given by the average of the lengths of its two bases.

So length of the median will be : $$ \frac{1}{2}.(x-10+3x-8)$$ $$ \frac{1}{2}(4x-18)$$ $$ 2x-9$$