The orthocenter of an obtuse triangle always lies
a.
on a vertex of the triangle
b.
on the inside of the triangle
c.
on the outside of the triangle
d.
on the triangle

C.
on the outside of the triangle

The best and most correct answer among the choices provided by the question is the second choice "on the inside of the triangle."

The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side. There are therefore three altitudes in a triangle.

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Dis a correct answer