To be able to find the lengths of a right triangle, we can use the Pythagorean Theorem.
[tex]c^2=a^2+b^2[/tex]
Since it is already given the value of "a" and "c", let's use the equation above to solve for "b" by substituting the values of "a" and "c".
[tex]\begin{gathered} 34^2=16^2+b^2 \\ 1156=256+b^2 \\ b^2=1156-256 \\ b^2=900 \\ \sqrt[]{b^2}=\sqrt[]{900} \\ b=30 \end{gathered}[/tex]
Therefore, the length of side b is 30 inches.
