[tex]Un~triunghi~are~3~unghiuri ~ !
Notam~masurile~unghiurilor~cu~x~,~y~,~z
Suma~celor~3~unghiuri~in~triunghi~este~de~180~de~grade = \ \textgreater \ Suma~180
x + y + z = 180
\left \{ {{x} \atop {y}} \atop {z}\right. d.p. \left \{ {{2} \atop {3}} \atop {5}\right.
\frac{x}{2} = \frac{y}{3} = \frac{z}{5} = K = \ \textgreater \
\frac{x}{2} = K = \ \textgreater \ x = 2 * K = \ \textgreater \ \boxed {x = 2K }
\frac{y}{3} = K = \ \textgreater \ y = 3 * K = \ \textgreater \ \boxed{ y = 3K }
\frac{z}{5} = K = \ \textgreater \ z = 5 * K = \ \textgreater \ \boxed{z = 5K }
x + y + z = 180 = \ \textgreater \
[/tex][tex]2K + 3K + 5K = 180 = \ \textgreater \
5K + 5K = 180 = \ \textgreater \
10K = 180 = \ \textgreater \
K = \frac{180}{10} = \ \textgreater \
\boxed{K = 18~ ( constanta~de~proportionalitate}
x = 2K = 2 * 18 = \underline{ 36 }
y = 3K = 3 * 18 = \underline{54}
z = 5K = 5 * 18 = \underline{90}
Masurile~unghiurilor~sunt~\underline{15~,~36~,~39~.}[/tex]
