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in the figure below, s is between q and t, and r is the midpoint of \\(…

Question

in the figure below, s is between q and t, and r is the midpoint of \\(\overline{qs}\\). if \\(rs = 2\\) and \\(rt = 6\\), find \\(qt\\).
\\(qt = \square\\)

Explanation:

Step1: Find length of QS

Since R is the midpoint of $\overline{QS}$, $QS = 2 \times RS$.
$QS = 2 \times 2 = 4$

Step2: Find length of ST

$ST = RT - RS$
$ST = 6 - 2 = 4$

Step3: Calculate total length QT

$QT = QS + ST$
$QT = 4 + 4 = 8$

Answer:

8