The length of the brace can be calculated using the Pythagorean Theorem:
[tex]\begin{gathered} c^2=a^2+b^2 \\ where \\ c=hypotenuse \\ a,b=legs \end{gathered}[/tex]
From the question, we have the following parameters:
[tex]\begin{gathered} a=37 \\ b=19 \end{gathered}[/tex]
c is the length of the brace.
Therefore, we can calculate as follows:
[tex]\begin{gathered} c^2=37^2+19^2 \\ c^2=1369+361=1730 \\ c=\sqrt{1730} \\ c=41.6 \end{gathered}[/tex]
The length of the brace is 41.6 cm.
