Altitudes, Medians, & Centers

Front

What is the definition of an altitude in a triangle?

Back

An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it is also the center of mass of the triangle.

Front

How do you find the length of a median in a triangle?

Back

Front

What is the orthocenter of a triangle?

Back

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

Front

If a triangle has sides of lengths 10, 24, and 26, what is the length of the median to the side of length 26?

Back

The length of the median is 12.

Front

What is the relationship between the centroid and the lengths of the segments it creates on the medians?

Back

The centroid divides each median into two segments, with the segment connecting the centroid to the vertex being twice the length of the segment connecting the centroid to the midpoint of the opposite side.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is the center of the circumcircle.

Front

How do you determine the length of an altitude in a triangle?

Back

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is the center of the incircle.

Front

If the lengths of the sides of a triangle are 5, 12, and 13, what type of triangle is it?

Back