Medians and Altitudes

Front

What is a median in a triangle?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

Front

What is an altitude in a triangle?

Back

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

Front

What is the point of concurrency of the medians of a triangle called?

Back

Centroid.

Front

What is the point of concurrency of the altitudes of a triangle called?

Back

Orthocenter.

Front

What is the point of concurrency of the perpendicular bisectors of a triangle called?

Back

Circumcenter.

Front

How many medians does a triangle have?

Back

A triangle has three medians.

Front

How many altitudes does a triangle have?

Back

A triangle has three altitudes.

Front

If a triangle has sides of lengths 6, 8, and 10, what is the length of the median to the longest side?

Back

The length of the median to the longest side (10) is 7.5.

Front

In triangle ABC, if AD is an altitude, what can be said about angle ADB?

Back

Angle ADB is a right angle.

Front

What is the relationship between the centroid and the medians of a triangle?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.