Примитивные треугольники (#111)

Треугольник с вершинами в узлах целочисленной решётки называется примитивным, если кроме своих вершин он не содержит внутри себя и на своих сторонах других узлов решётки. Докажите, что площадь примитивного треугольника равна 1/2.

Сложность: 5/10

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Interesting problems from job interviews and maths contests. For more please visit our telegram channel @mathreshka (https://t.me/mathreshka)

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