Resoluci\'on de tri\'angulos oblicu\'angulos

Diego Fernando Ramírez Jiménez

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arXiv · 1909.12119

Resoluci\'on de tri\'angulos oblicu\'angulos

Diego Fernando Ramírez Jiménez

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Abstract

Se enuncia los principales teoremas empleados en la resoluci'on de tri'angulos oblicu'angulos. Con ellos, se ilustra c'omo resolver los cinco casos de resoluci'on que se presentan, incluyendo algunos caso at'ipicos (cuando se conoce el per'imetro y dos 'angulos internos, o un lado, el 'angulo comprendido entre los lados restantes, as'i como su suma). Luego, se discute la determinaci'on del 'area para cada caso, las relaciones entre los radios de las circunferencias inscritas, circunscritas y excritas, las longitudes de las medianas, bisectrices y alturas. The principal theorems for solving oblicue triangles are presented. We shall show how to solve the five classical cases, and also some atipical cases, for instance, known the perimeter and two internal angles; or a lade, an angle between the other lades as like their sum. Finally, we shall discute how to calcule the area of triangles for the difference cases, the relations between the radii of inscribed, circunscribed and excribes circles, the lengths of medians, bisectors and heights.

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Diego Fernando Ramírez Jiménez. 2019-09-24. Resoluci\'on de tri\'angulos oblicu\'angulos. https://arxiv.org/abs/1909.12119

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