Given data:
The first length is UG=52.
The second length is UH=38.
The expression for the angle G is,
[tex]\tan (G)=\frac{UH}{UG}[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} \tan G=\frac{38}{52} \\ \angle G=36.15^{\circ} \\ \approx36.2^{\circ} \end{gathered}[/tex]The angle H is,
[tex]\begin{gathered} \angle H+\angle U+\angle G=180^{\circ} \\ \angle H+90^{\circ}+36.2^{\circ}=180^{\circ} \\ \angle H=53.8^{\circ} \end{gathered}[/tex]The expression for GH length is,
[tex]\begin{gathered} \cos (36.2^{\circ})=\frac{52}{GH} \\ GH=64.41 \end{gathered}[/tex]Thus, the option (A) is not true.
