Question

find tv. a. 6 b. 24 c. 12 d. 48

Explanation:

Step1: Identify the mid - segment theorem

In $\triangle VUT$, $ML$ is a mid - segment since $M$ is the mid - point of $VU$ and $L$ is the mid - point of $UT$. The mid - segment theorem states that the length of a mid - segment of a triangle is half the length of the third side of the triangle. That is, if $ML$ is the mid - segment and $VT$ is the third side, then $ML=\frac{1}{2}VT$.

Step2: Solve for $VT$

Given $ML = 12$, we can rewrite the formula from Step 1 as $VT = 2\times ML$. Substituting the value of $ML$ into the formula, we get $VT=2\times12$.
$VT = 24$

Answer:

B. 24