The triangle ∆ABC inscribed in sphere P is given by the first graphic.
How can the inscribed triangle be found?
One figure is said to be inscribed in another figure when the vertices of the inscribed figure rests on the perimeter of the circumscribing figure.
The relationship between the figures in the given diagram are;
1st graphic : All points of the triangle ∆ABC are located on the surface of the sphere, P
Therefore;
- The first graphic depicts ∆ABC inscribed in sphere P
2nd graphic: Point C of the triangle ∆ABC is located outside sphere P.
Therefore;
The 2nd graphic does not depicts ∆ABC inscribed in sphere P
3rd graphic: Point A of the triangle ∆ABC in the 3rd graphic is located outside sphere P.
Therefore;
The 3rd graphic does not depicts ∆ABC inscribed in sphere P
4th graphic: Point B of triangle ∆ABC in the 4th graphic is located outside sphere P.
Therefore;
The 4th graphic does not depicts ∆ABC inscribed in sphere P
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