Question

Need help with these if you can do too please and thanks

Answer 1

`\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=√(c^2 - a^2) \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{50}\\ a=\stackrel{adjacent}{48}\\ o=\stackrel{opposite}{x} \end{cases} \\\\\\ x=√( 50^2 - 48^2)\implies x=√( 2500 - 2304 ) \implies x=√( 196 )\implies x=14 \\\\[-0.35em] ~\dotfill`

`\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=√(c^2 - o^2) \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{9}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ x=√( 9^2 - 7^2)\implies x=√( 81 - 49 ) \implies x=√( 32 )\implies x\approx 5.66`