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Please help me with the math questions.

Please help me with the math questions.-example-1

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Check the picture below.

so using the pythagorean theorem, let's find its hypotenuse


\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=hypotenuse\\ a=\stackrel{adjacent}{3}\\ o=\stackrel{opposite}{4} \end{cases} \\\\\\ c=√( 3^2 + 4^2)\implies c=√( 9 + 16 ) \implies c=√( 25 )\implies c=5 \\\\\\ ~\hfill~\sin( BAO )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}~\hfill~

Please help me with the math questions.-example-1
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User Musen
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