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Otrada [13]
3 years ago
7

Es posible dibujar 9 segmentos de línea de manera que cada segmento interseque exactamente 1 de los otros segmentos?

Mathematics
1 answer:
uysha [10]3 years ago
8 0

Answer: No es posible (It is not possible)

Step-by-step explanation:

The question in english is as follows:

Is it possible to draw 9 line segments so that each segment crosses exactly 1 of the other segments?

A necessary condition for two lines to intersect is that they must be in the same plane (they must be coplanar),  being their intersection a single point.

Now, if we want several lines to intersect only once, we need to have an <u>even number</u> of line segments. However, this is not the case because <u>9 is odd. </u>

Therefore, it is not possible.

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