Question

in the figure below, s is between q and t, and r is the mid - point of qs. if rs = 4 and qt = 14, find st.

Explanation:

Step1: Use mid - point property

Since $R$ is the mid - point of $\overline{QS}$, then $QR = RS$. Given $RS = 4$, so $QR=4$.

Step2: Find $QS$

$QS=QR + RS$. Substituting the values, we get $QS = 4+4=8$.

Step3: Use segment addition postulate

We know that $QT=QS + ST$. Given $QT = 14$ and $QS = 8$. Then $ST=QT - QS$.

Step4: Calculate $ST$

$ST=14 - 8=6$.

Answer:

$6$