Επαναληπτική #3
Δημοσιεύτηκε: Τετ Απρ 19, 2023 12:46 pm
Στο παρακάτω σχήμα απεικονίζεται τρίγωνο
. Ισχύει ότι
,
. Αν
,
και
τότε:
. Ισχύει ότι
,
. Αν
,
και
τότε:
- να βρεθεί ο λόγος
. - το μήκος του ευθυγράμμου τμήματος
.
![\displaystyle{\begin{tikzpicture}
\draw[line width=1.2pt] (0, 0) -- (1, 3) -- (4, 0) -- cycle;
\draw[line width=1.2pt] (0, 0) -- (0.67, 2) -- (2, 2) -- (1.33, 0) -- cycle;
\draw (0, 0) node[below]{B};
\draw (1,3) node[above]{A};
\draw (4, 0) node[below]{\text{\gr Γ}};
\draw (0.67, 2) node[left]{\text{\gr Δ}};
\draw (2, 2) node[right]{Ε};
\draw (1.33, 0) node[below]{Ζ};
\draw (0.84, 2.51) node[left]{1};
\draw (0.34, 1.01) node[left]{4};
\draw[<-] (0, -1) -- (1.6, -1);
\draw (2, -1) node[]{10};
\draw[->] (2.4, -1) -- (4, -1);
\end{tikzpicture}} \displaystyle{\begin{tikzpicture}
\draw[line width=1.2pt] (0, 0) -- (1, 3) -- (4, 0) -- cycle;
\draw[line width=1.2pt] (0, 0) -- (0.67, 2) -- (2, 2) -- (1.33, 0) -- cycle;
\draw (0, 0) node[below]{B};
\draw (1,3) node[above]{A};
\draw (4, 0) node[below]{\text{\gr Γ}};
\draw (0.67, 2) node[left]{\text{\gr Δ}};
\draw (2, 2) node[right]{Ε};
\draw (1.33, 0) node[below]{Ζ};
\draw (0.84, 2.51) node[left]{1};
\draw (0.34, 1.01) node[left]{4};
\draw[<-] (0, -1) -- (1.6, -1);
\draw (2, -1) node[]{10};
\draw[->] (2.4, -1) -- (4, -1);
\end{tikzpicture}}](/forum/ext/geomar/texintegr/latexrender/pictures/d6c5d9bf68106979ed9958ee2828438e.png)

