Medians & Altitudes

Front

The altitude is __________ to the side of a triangle.

Back

perpendicular

Front

Name the segment/line/ray shown in the picture: A line from a vertex to the opposite side forming a right angle.

Back

Altitude

Front

The figures above are examples of ...

Back

altitudes

Front

List the sides from largest to smallest in a triangle where BC is the longest side.

Back

BC, AB, AC

Front

Which angle is the SMALLEST? How do you know?

Back

< C, because it is opposite the smallest side.

Front

What is a median in a triangle?

Back

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

Front

How many medians does a triangle have?

Back

Three, one from each vertex.

Front

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

Back

The centroid is the point where all three medians intersect.

Front

What is the formula to find the length of a median in a triangle?

Back

Median = 1/2 * sqrt(2a^2 + 2b^2 - c^2) where a and b are the lengths of the sides adjacent to the median and c is the length of the opposite side.

Front

What is the difference between an altitude and a median?

Back

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