Question

in the figure below, r is between q and s, and s is between r and t. if rt = 5, qt = 9, and rs = 3, find qs.

Explanation:

Step1: Find QR

Since $QT = QR+RT$ and $QT = 9$, $RT = 5$, we can find $QR$ by subtracting $RT$ from $QT$. So $QR=QT - RT$.
$QR=9 - 5=4$.

Step2: Find QS

Since $QS=QR + RS$ and $QR = 4$, $RS = 3$.
$QS=4 + 3=7$.

Answer:

$7$