Question

Can someone pls help me with this and explain thanks!

Answer 1

Check the picture below.

`\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}{37}\\ a=\stackrel{adjacent}{35}\\ o=\stackrel{opposite}{BD} \end{cases} \\\\\\ BD=√( 37^2 - 35^2) \implies BD=√( 144 )\implies BD=12 \\\\[-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}{13}\\ a=\stackrel{adjacent}{AD}\\ o=\stackrel{opposite}{12} \end{cases} \\\\\\ AD=√( 13^2 - 12^2)\implies AD=√( 169 - 144 ) \implies AD=√( 25 )\implies \boxed{AD=5}`