Question

c.) find length of || side of midseg.

Explanation:

Step1: Recall mid - segment theorem

The length of a mid - segment of a triangle is half the length of the side it is parallel to. So, $2(2x - 11)=2x - 4$.

Step2: Expand the left - hand side

$4x-22 = 2x - 4$.

Step3: Subtract $2x$ from both sides

$4x-2x-22=2x - 2x-4$, which simplifies to $2x-22=-4$.

Step4: Add 22 to both sides

$2x-22 + 22=-4 + 22$, so $2x=18$.

Step5: Solve for $x$

Divide both sides by 2: $\frac{2x}{2}=\frac{18}{2}$, then $x = 9$.

Step6: Find the length of the parallel side

Substitute $x = 9$ into the expression for the parallel side $2x-4$. So, $2\times9-4=18 - 4=14$.

Answer:

14