a=12
Explanation
[tex]a^2+b^2=c^2[/tex]
if
b=35
c=37
a=?
Step 1
replace,
[tex]\begin{gathered} a^2+b^2=c^2 \\ a^2+35^2=37^2 \\ a^2+1225=1369 \\ \end{gathered}[/tex]Step 2
subtract 1225 in both sides,
[tex]\begin{gathered} a^2+1225=1369 \\ a^2+1225-1225=1369-1225 \\ a^2=144 \end{gathered}[/tex]Step 3
make square root in both sides
[tex]\begin{gathered} a^2=144 \\ \sqrt[]{a^2}=\sqrt[]{144} \\ a=12 \end{gathered}[/tex]I hope this helps you