567+9=576
560+(7+9)=576
560+16=576
576=576=576
902-7=895
523-8=515
406-9=397
356-7=349
895=515=397=349
ΔABC: AB=6 <B=45, <A=60
<C=180-(45+60), <A=75
теорема синусов:
AB/sin75=BC/sin60=AC/sin45
1. AB/sin75=BC/sin60
sin75=sin(30+45)=sin30*cos45+cos30*sin45=(1/2)*(√2/2)+(√3/2)*(√2/2)=(√2+√6)/4
BC=(6*sin60)/sin75
BC=(6*√3/2):(√2+√6)/4, BC=12√3/(√2+√6)
2. AB/sin75=AC/sin45
AC=6*sin45/sin75
AC=12√2/(√2+6)
3. PΔABC=AB+BC+AC
PΔABC=6+12√3/(√2+√6)+12√2/(√2+√6)
<u>PΔABC=6+(12√3+12√2)/(√2+√6)</u><u>
</u><u>
</u>
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1) 3 1/4 - 1/4 = 3 литра во втором бидоне
2) 11 - (3 1/4 + 3 ) = 11 - 6 1/4 = 4 3/4 литра в третьем бидоне.
Ответ: 4 3/4 литра
Проверка 3 1/4 + 3 + 4 3/4 = 11