Решение 

Легко заметить, что `+`(`*`(`^`(AB, 2)), `*`(`^`(BC, 2))) = `*`(`^`(AC, 2)) 

Следовательно, точки являются вершинами прямоугольного треугольника. 

Image 

> with(plots); -1; `assign`(A, arctan(`/`(4, 3))); -1; `assign`(xB, evalf(`+`(`*`(3, `*`(cos(A)))))); -1; `assign`(yB, evalf(`+`(`*`(3, `*`(sin(A)))))); -1; `assign`(p1, implicitplot(`+`(`*`(`^`(x, 2)),...
with(plots); -1; `assign`(A, arctan(`/`(4, 3))); -1; `assign`(xB, evalf(`+`(`*`(3, `*`(cos(A)))))); -1; `assign`(yB, evalf(`+`(`*`(3, `*`(sin(A)))))); -1; `assign`(p1, implicitplot(`+`(`*`(`^`(x, 2)),...
with(plots); -1; `assign`(A, arctan(`/`(4, 3))); -1; `assign`(xB, evalf(`+`(`*`(3, `*`(cos(A)))))); -1; `assign`(yB, evalf(`+`(`*`(3, `*`(sin(A)))))); -1; `assign`(p1, implicitplot(`+`(`*`(`^`(x, 2)),...
with(plots); -1; `assign`(A, arctan(`/`(4, 3))); -1; `assign`(xB, evalf(`+`(`*`(3, `*`(cos(A)))))); -1; `assign`(yB, evalf(`+`(`*`(3, `*`(sin(A)))))); -1; `assign`(p1, implicitplot(`+`(`*`(`^`(x, 2)),...
with(plots); -1; `assign`(A, arctan(`/`(4, 3))); -1; `assign`(xB, evalf(`+`(`*`(3, `*`(cos(A)))))); -1; `assign`(yB, evalf(`+`(`*`(3, `*`(sin(A)))))); -1; `assign`(p1, implicitplot(`+`(`*`(`^`(x, 2)),...
with(plots); -1; `assign`(A, arctan(`/`(4, 3))); -1; `assign`(xB, evalf(`+`(`*`(3, `*`(cos(A)))))); -1; `assign`(yB, evalf(`+`(`*`(3, `*`(sin(A)))))); -1; `assign`(p1, implicitplot(`+`(`*`(`^`(x, 2)),...
with(plots); -1; `assign`(A, arctan(`/`(4, 3))); -1; `assign`(xB, evalf(`+`(`*`(3, `*`(cos(A)))))); -1; `assign`(yB, evalf(`+`(`*`(3, `*`(sin(A)))))); -1; `assign`(p1, implicitplot(`+`(`*`(`^`(x, 2)),...
with(plots); -1; `assign`(A, arctan(`/`(4, 3))); -1; `assign`(xB, evalf(`+`(`*`(3, `*`(cos(A)))))); -1; `assign`(yB, evalf(`+`(`*`(3, `*`(sin(A)))))); -1; `assign`(p1, implicitplot(`+`(`*`(`^`(x, 2)),...
with(plots); -1; `assign`(A, arctan(`/`(4, 3))); -1; `assign`(xB, evalf(`+`(`*`(3, `*`(cos(A)))))); -1; `assign`(yB, evalf(`+`(`*`(3, `*`(sin(A)))))); -1; `assign`(p1, implicitplot(`+`(`*`(`^`(x, 2)),...
with(plots); -1; `assign`(A, arctan(`/`(4, 3))); -1; `assign`(xB, evalf(`+`(`*`(3, `*`(cos(A)))))); -1; `assign`(yB, evalf(`+`(`*`(3, `*`(sin(A)))))); -1; `assign`(p1, implicitplot(`+`(`*`(`^`(x, 2)),...
 


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