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QUESTION IMAGE

xr = 2 and xp = 3. find pr.

Question

xr = 2 and xp = 3. find pr.

Explanation:

Step1: Apply Pythagorean theorem

In right - triangle \(XPR\), by the Pythagorean theorem \(PR=\sqrt{XP^{2}-XR^{2}}\)

Step2: Substitute values

Substitute \(XR = 2\) and \(XP=3\) into the formula: \(PR=\sqrt{3^{2}-2^{2}}=\sqrt{9 - 4}=\sqrt{5}\)

Answer:

\(\sqrt{5}\)