Question

Which best explains why the orthocenter of an obtuse triangle is outside the triangle?

A. All three of the altitudes lie entirely outside the triangle.
B. Two of the altitudes lie entirely outside the triangle.
C. All three of the medians lie entirely outside the triangle.
D. Two of the medians lie entirely outside the triangle.

Answer 1

Answer: A is the right answer.All three of the altitudes lie entirely outside the triangle.

Explanation:

Orthocenter of a triangle is a point which formed by intersection of all the three concurrent altitudes. It can be inside or outside of a triangle. In obtuse triangle All three of the concurrent altitudes lie entirely outside the triangle .Therefore its intersection will lie outside and that intersection is orthocenter of the obtuse triangle .

Answer 2

the answer is A. all three of the latitudes lie entirely outside the triangle

its a because all the altitudes have to cross each other so when an obtuse angle is being measured the altitudes have to cross but the only way they can can cross is if they are outside of the angle to get the right mesaurement