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Автор - nikitasmirnov7

найдите площадь треугольника ABC с вершинами а) А (2; 3), B (2; -6), C(-3;-1) б) A (4;1), B (1;-4), C (7,1)

Ответ

Проверено экспертом

Автор - mikael2
площадь треугольника через координаты вершин считаем по формуле
S=1/2[(x1-x3)(y2-y3)-(x2-x3)(y1-y3)]

1.  x1=2 x2=2 x3=-3    y1=3   y2=-6   y3=-1
S=1/2[5*-5  -   5*4]=1/2[-25-20] =-45/2=-22.5
знак по модулю, площадь 22,5 

х1= 4  х2 = 1  х3= 7     у1= 1   у2= -4  у3=1

площадь=1/2[-3*-4  -  (-6)*0]=1/2*12=6

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