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

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 

Answer 2

Answer:

All three of the altitudes lie entirely outside the triangle.

Step-by-step explanation:

We are asked to choose the best option that explains why the orthocenter of an obtuse triangle is outside the triangle.

We know that orthocenter of a triangle is the point where all three altitudes of the triangle intersect.

We also know that orthocenter of an obtuse triangle is always outside of the circle.

Since all three altitudes of an obtuse triangle intersect outside the triangle, therefore, orthocenter of an obtuse triangle is outside the triangle and option A is the correct choice.