Median/Altitude Review

Front

What is the definition of a median in a triangle?

Back

A median is a line segment joining a vertex of a triangle to the midpoint of 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 divides each median into two segments with a ratio of 2:1.

Front

How does the centroid divide each median?

Back

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

Front

If a median is 30 units long, what is the length of the segment from the centroid to the vertex?

Back

20 units.

Front

If NP = 5, what is CP if NP is the shorter segment of the median?

Back

CP = 10.

Front

If BM = 21, what is PM if BM is the longer segment of the median?

Back

PM = 7.

Front

If LB = 4, what is CL if LB is the shorter segment of the median?

Back

CL = 4.

Front

What is the relationship between the lengths of the segments created by the centroid on a median?

Back

The length of the segment from the centroid to the vertex is twice the length of the segment from the centroid to the midpoint.

Front

If x = 2, what is the measure of AC if AC = 8x?

Back

AC = 16.

Front

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

Back

The length of a median can be calculated using the formula: m = 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.