Given the triangle:
The Pythagorean Theorem states that:
[tex]a^2+b^2=c^2[/tex]
From the figure, we identify:
[tex]\begin{gathered} a=15 \\ c=39 \end{gathered}[/tex]
Now, using the Pythagorean Theorem:
[tex]\begin{gathered} 15^2+b^2=39^2 \\ 225+b^2=1521 \\ b^2=1295 \\ \Rightarrow b=36 \end{gathered}[/tex]
