Question

in the figure below, s is between q and t, and r is the mid - point of $overline{qs}$. if $rs = 2$ and $rt = 8$, find $qt$.

Explanation:

Step1: Use mid - point property

Since $R$ is the mid - point of $\overline{QS}$, then $QR = RS$. Given $RS = 2$, so $QR=2$.

Step2: Calculate $QT$

$QT=QR + RT$. Substitute $QR = 2$ and $RT = 8$ into the formula. Then $QT=2 + 8$.

Answer:

$10$