Question

Solve for a. Help please!

Answer 1

`\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies √(c^2 - b^2)=a \qquad \begin{cases} c=\stackrel{hypotenuse}{12}\\ a=adjacent\\ b=\stackrel{opposite}{9}\\ \end{cases} \\\\\\ √(12^2 - 9^2)=a\implies √(144 - 81)=a\implies √(63)=a`