Question

PLEASE HELP!!! I have no idea how to do this..

Answer 1

`\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+1}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{x} \end{cases} \\\\\\ (x+1)^2= 7^2 + x^2\implies (x+1)(x+1)= 49 + x^2 \implies x^2+2x+1=49+x^2 \\\\\\ 2x+1=49\implies 2x=48\implies x=\cfrac{48}{2}\implies x=24`