Question

aflati masurile unghiurilor unui triunghi stiind ca sunt direct proportionale cu 3,4,8RAPID!!!
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Answer 1

 

$\displaystyle\bf\\Notam~unghiurile~cu~x;~y;~si~z\\\\x+y+z=180~~(suma~unghiurilor~unui~triunghi)\\\\x; y; z~~d.p~cu~~3;~4;~8\\\\\\\frac{x}{3}=\frac{y}{4}=\frac{z}{8}=k\\\\x=3k\\y=4k\\z=8k\\\\x+y+z=180\\\\3k+4k+8k=180\\\\15k=180\\\\k=\frac{180}{15}\\\\\boxed{\bf k=12}\\\\x=3k=3\times12\\y=4k=4\times12\\z=8k=8\times12\\\\\boxed{\bf x=36^o~~y=48^o~~z=96^o}\\\\Verificare:\\36^o+48^o+96^o=180^o$