Question

in the figure below, r is between q and s, and s is between r and t. if qt = 17, qs = 10, and rt = 11, find rs.
rs =

Explanation:

Step1: Determine the length of ST

Since $QT = QS+ST$ and $QT = 17$, $QS = 10$, we can find $ST$ by subtraction.
$ST=QT - QS=17 - 10 = 7$.

Step2: Determine the length of RS

Since $RT=RS + ST$ and $RT = 11$, $ST = 7$, we can find $RS$ by subtraction.
$RS=RT - ST=11 - 7 = 4$.

Answer:

4