P=3a=12,значит сторона треуг.=4
r=a*sqrt(3)/6 формула для радиуса вписанной окружности в равностор. треугольник
r=4*sqrt(3)/6
r=2*sqrt(3)/3
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Сторона треугольника равна 12/3=4
Радиус r=(4/2)*tg30=2/√3
ответ: радиус окружности вписанной в треугольник r=2/√3 см