Question

I need some help with this I don't quiet get this.​

Answer 1

`\boxed{A}\hspace{5em} \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=√(a^2 + o^2) \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{24}\\ o=\stackrel{opposite}{10} \end{cases} \\\\\\ x=√( 24^2 + 10^2)\implies x=√( 576 + 100 ) \implies x=√( 676 )\implies x=26 \\\\[-0.35em] ~\dotfill`

`\boxed{B}\hspace{5em}\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}{51}\\ a=\stackrel{adjacent}{y}\\ o=\stackrel{opposite}{45} \end{cases} \\\\\\ y=√( 51^2 - 45^2)\implies y=√( 2601 - 2025 ) \implies y=√( 576 )\implies y=24`