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QUESTION IMAGE

find qr. qr =

Question

find qr.
qr =

Explanation:

Step1: Determine the relationship between the segments

Since \(RT\) is a mid - segment of \(\triangle QUS\) (because of the mid - segment markings), by the mid - segment theorem, \(RT=\frac{1}{2}QU\) and \(QR = RS\).

Step2: Calculate \(QR\)

We know that \(QS=QR + RS\) and \(QR = RS\). Given \(QS = 34\), then \(QR=\frac{1}{2}QS\).

Answer:

\(17\)