Given the right triangle:
The Pythagorean theorem states that:
[tex]a^2+b^2=c^2[/tex]
From the problem, we identify:
[tex]\begin{gathered} b=14^{\prime}^{\prime} \\ c=19^{\prime}^{\prime} \end{gathered}[/tex]
And a is our missing value. Using the Pythagorean theorem:
[tex]\begin{gathered} a+14^2=19^2 \\ a^2=361-196 \\ a=\sqrt[]{165} \\ a=12.8^{\prime}^{\prime} \end{gathered}[/tex]
