Se tienen tres varillas de 60 cm, 80 cm y 100 cm de longitud. Se quieren dividir en pedazos de la misma y máxima longitud sin que sobre ni falte nada. ¿Cuál es la medida y cuántos pedazos se obtendrán?

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explanation:

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.