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DS_18_03_27 pour les 306

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Bertrand Benjamin
2018-03-21 11:59:40 +03:00
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3ePasserelles/DS/DS_18_03_27/Geometrie/subject.tex Normal file
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\begin{minipage}{0.5\textwidth}
Juliette veut installer une étagère composée de 4 tablettes identiques dans un angle de la pièce.
Chaque tablette a la forme du triangle représenté ci-contre.
Le triangle ABC est rectangle en A.
\end{minipage}
\begin{minipage}{0.6\textwidth}
\includegraphics[scale=1]{./fig/etagere}
\end{minipage}
\begin{enumerate}
\item Elle veut coller une baguette sur les 3 côtés d’une tablette :
\begin{enumerate}
\item Calculez la longueur BC arrondie.
\item Elle décide d’acheter une baguette de 30cm de longueur. Est-ce assez pour faire le tour de la tablette.
\end{enumerate}
\item Juliette voudrait mettre une couche de vernis sur les deux faces des 4 tablettes.
\begin{enumerate}
\item Calculer l'aire d'une seule tablette.
\item Vérifier par un calcul que la surface totale à vernir est de $432cm^2$.
\item Un pot de vernis couvre $500cm^2$. Juliette possède un pot de vernis rempli au $\dfrac{3}{4}$.
A-t-elle suffisamment de vernis ?
\end{enumerate}
\end{enumerate}