An orthocenter is the intersection of three angle bisectors in a triangle. altitudes in a triangle. medians in a triangle. perpendicular bisectors in a triangle.

- An orthocenter is the intersection of three altitudes in a triangle.

Explanation:-

A line which passes through a vertex of the triangle and is perpendicular to the opposite side is called an altitude of the triangle.

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

An orthocenter is the intersection of altitudes in a triangle.

Further explanation:

An altitude is a line that is perpendicular to a side and passes through opposite vertex.

The point at which all the three angle bisectors in a triangle intersect each is known as incenter of the triangle.

The point at which all the three altitudes of a triangle intersect each is known as orthocenter of the triangle.

The point at which all the three medians of a triangle intersect each is known as centroid of the triangle.

The point at which all the three perpendicular bisectors of a triangle intersect each is known as circumcenter.

Orthocenter of a triangle lies inside the triangle if it is acute.

Orthocenter of a triangle lies on the vertex of the triangle that is opposite to hypotenuse if it is right angled.

Orthocenter of a triangle lies outside the triangle if it is obtuse.

An orthocenter is the point at which all the three altitudes of the triangle intersect each other.

Learn more:

1. Learn more about inverse of the function

2. Learn more about equation of circle

3. Learn more about range and domain of the function

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: orthocenter, perpendicular, altitudes, point, triangle, intersect, centroid, circumcenter, bisectors, perpendicular bisectors, angles, angle bisectors, median, intersection, incenter, right angle triangle, equilateral triangle, obtuse, acute.

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