Question

Which best explains why the orthocenter of an obtuse triangle is outside the triangle? All three of the altitudes lie entirely outside the triangle. Two of the altitudes lie entirely outside the triangle. All three of the medians lie entirely outside the triangle. Two of the medians lie entirely outside the triangle.

Answer 1

Two of the altitudes lie entirely outside the triangle.  for an obtuse angled triangle

Step-by-step explanation:

The orthocenter is the point where all three altitudes of the triangle intersect.

Altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

Orthocenter of an obtuse triangle is outside the triangle

as Two of the altitudes lie entirely outside the triangle.  for an obtuse angled triangle

Median has no linkage with orthocenter

& Median alsways lies inside triangle

All three of the altitudes can not lie entirely outside the triangle.

so correct ooption is

Two of the altitudes lie entirely outside the triangle for obtuse triangle

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Answer 2

Answer:

Two of the altitudes lie entirely outside the triangle.  for an obtuse angled triangle

Step-by-step explanation: