Question

using the given figure, determine the length of \\(\overline{pr}\\) if the length of \\(\overline{qs}\\) is 13.

\\(\

$$\begin{array}{c|c|c|c}\\longleftarrow 7 \\longrightarrow & & \\longleftarrow 3 \\longrightarrow \\\\ p & q & r & s\\end{array}$$

\\)

\\(\bigcirc\\) 10 units
\\(\bigcirc\\) 3 units
\\(\bigcirc\\) 7 units
\\(\bigcirc\\) 17 units

Explanation:

Step1: Find length of \(QR\)

Given \(QS = 13\) and \(RS = 3\), so \(QR=QS - RS=13 - 3 = 10\).

Step2: Find length of \(PR\)

Given \(PQ = 7\) and \(QR = 10\), so \(PR=PQ+QR = 7 + 10=17\).

Answer:

17 units