Question

pg = 1 and xg = 6. find xp.

Explanation:

Step1: Use the Pythagorean theorem

In right - triangle \(XPG\), by the Pythagorean theorem \(XP^{2}=XG^{2}-PG^{2}\).

Step2: Substitute the given values

Given \(PG = 1\) and \(XG=6\), substitute into the formula: \(XP^{2}=6^{2}-1^{2}\).

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Step3: Solve for \(XP\)

Take the square root of both sides: \(XP=\sqrt{35}\)

Answer:

\(\sqrt{35}\)