Question

Find the answer to the problem

Answer 1

Check the picture below.

keeping in mind that the square has an area of (S)(S) = S², let's find its side S

`\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}{S}\\ a=\stackrel{adjacent}{4}\\ o=\stackrel{opposite}{3} \end{cases} \\\\\\ S=√( 4^2 + 3^2)\implies S=√( 16 + 9 ) \implies S=√( 25 )\implies S=5 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill~ Area=S^2=25~\hfill~`