Question

py = 1 and fy = 2. find fp.

Explanation:

Step1: Apply Pythagorean theorem

In right - triangle \(PFY\), according to the Pythagorean theorem \(FP^{2}=PY^{2}+FY^{2}\).

Step2: Substitute the given values

Given \(PY = 1\) and \(FY=2\), substitute into the formula: \(FP^{2}=1^{2}+2^{2}\).

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Step3: Solve for \(FP\)

Take the square root of both sides. Since \(FP>0\) (length), \(FP=\sqrt{5}\).

Answer:

\(\sqrt{5}\)