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Verified Answer :

calculista

Answer:

\(PY=5\ units\)

Step-by-step explanation:

we know that

Applying the Pythagoras Theorem

\(PY^{2}=PX^{2}+XY^{2}\)

In this problem we have that

\(XY=RS/2=6/2=3\ units\)

\(PX=4\ units\)

substitute

\(PY^{2}=4^{2}+3^{2}\)

\(PY^{2}=25\)

\(PY=\sqrt{25}\ units\)

\(PY=5\ units\)

Answer:

PY=5.

Step-by-step explanation:

In triangle PXY it is given PX=4, XY=half of RS=6÷2=3.

Two of the sides known we can find the third side using Pythagorean Theorem:

\(PY^{2} =PX^{2} +XY^{2}\)

Or,  \(PY^{2} =4^{2}+3^{2}  =16+9=25.\)

Taking root of both sides PY=5.

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