Question

Две стороны треугольника равны 2 2/9 м и 3 5/9 м а его периметр равен 7 23/27 метра Найдите 3 сторону треугольнпика

Answer 1

Ответ:

$P=a+b+c\\\\7\frac{23}{27}=2\frac{2}{9}+3\frac{5}{9}+c \\\\ \frac{212}{27}=\frac{20}{9}+\frac{32}{9} +c\\\\c=\frac{212}{27}-(\frac{20}{9}+\frac{32}{9})\\\\c=\frac{212}{27}-\frac{52}{9} \\\\c=\frac{212}{27}- \frac{156}{27}\\\\c= \frac{56}{27} \\\\c= 2\frac{2}{27}$

Проверка:

$P=a+b+c\\\\7\frac{23}{27}=2\frac{2}{9}+3\frac{5}{9}+2\frac{2}{27}\\\\\frac{212}{27}=\frac{20}{9}+\frac{32}{9}+\frac{56}{27} \\\\\frac{212}{27}=\frac{60}{27}+\frac{96}{27}+\frac{56}{27}\\\\\frac{212}{27}=\frac{156}{27}+\frac{56}{27} \\\\\frac{212}{27}=\frac{212}{27}$