Corrected (hopefully) Medians of Triangles

Front

What is a median of a triangle?

Back

A median of a triangle is a segment that connects a vertex 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 is also the center of mass of the triangle.

Front

If JV = 3x - 6 and VE = 2x - 7, find x if point V is a centroid.

Back

x = 8

Front

What is the relationship between the segments created by a median in a triangle?

Back

The median divides the triangle into two smaller triangles of equal area.

Front

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

Back

Median

Front

What is the formula for finding 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.

Front

Which point in a triangle is also known as the center of mass?

Back

Centroid

Front

If NP = 5, what is CP if P is the centroid?

Back

CP = 10

Front

What is the difference between a median and an altitude in a triangle?

Back

A median connects a vertex to the midpoint of the opposite side, while an altitude connects a vertex to the opposite side at a right angle.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the balance point of the triangle, where it would balance perfectly if made of a uniform material.