Question

If an orthocenter lies inside of a triangle, then the triangle must be a?

Answer 1

we know that

An orthocenter is the intersection of all the altitudes from each side of a triangle. If an orthocenter lies inside of a triangle, then the triangle is ACUTE. If the orthocenter lies outside of a triangle, then the triangle is OBTUSE.

therefore

the answer is

The triangle is ACUTE

Answer 2

Answer: Acute Triangle

Explanation:

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

• If the triangle is acute, then its orthocenter lie inside the triangle.
• If the triangle is right, then its orthocenter lie on the vertex opposite the hypotenuse.
• If the triangle is obtuse, then its orthocenter lie outside the triangle.

Therefore, if an orthocenter lies inside of a triangle, then the triangle must be an acute triangle.