Medians & Altitudes

Front

What is an altitude in a triangle?

Back

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

Front

What is the measure of the angle formed by an altitude and the side of a triangle?

Back

90°

Front

How does an altitude relate to the sides of a triangle?

Back

An altitude is always perpendicular to the side of the triangle it intersects.

Front

What is a median in a triangle?

Back

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

Front

How many medians does a triangle have?

Back

A triangle has three medians, one from each vertex.

Front

What is the point of intersection of the medians called?

Back

The centroid.

Front

What is the relationship between the centroid and the medians?

Back

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

Front

Can an altitude and a median be the same segment in a triangle?

Back

Yes, in an isosceles triangle, the altitude from the vertex angle to the base is also a median.

Front

What is the difference between an altitude and a median?

Back

An altitude is perpendicular to a side, while a median connects a vertex to the midpoint of the opposite side.

Front

What is the formula for finding the area of a triangle using an altitude?

Back

Area = 1/2 * base * height (where height is the length of the altitude).