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QUESTION IMAGE

find pg if bg = 3.46 and bp = 4.

Question

find pg if bg = 3.46 and bp = 4.

Explanation:

Step1: Apply the Pythagorean theorem

In right - triangle \(BPG\), according to the Pythagorean theorem \(BP^{2}=BG^{2}+PG^{2}\).

Step2: Solve for \(PG\)

Rearrange the formula to \(PG=\sqrt{BP^{2}-BG^{2}}\). Substitute \(BP = 4\) and \(BG=3.46\) into the formula:

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Answer:

\(PG\approx2\)