In order to determine whether P is a right angle, we will apply the Pytyhagoras theorem.
The formula is,
[tex]\text{Hypotenuse}^2=Opposite^2+Adjacent^2[/tex]
where,
[tex]\begin{gathered} Hypotenuse=QR=29inches \\ \text{Opposite}=PR=21\text{inches} \\ \text{Adjacent}=PQ=20\text{inches} \end{gathered}[/tex]
Therefore,
[tex]29^2=21^2+20^2[/tex]
Simplify
[tex]\begin{gathered} 841=400+441 \\ 841=841 \end{gathered}[/tex]
Hence, the correct answer is
[tex]20^2+21^2=29^2\text{ (OPTION 4)}[/tex]
